HomeSearch by dateVacation packagesHotelsFlight dealsCar rentalTravel tips & news
Copenhagen

$253+ Cheap flights from Boston (BOS) to Copenhagen (CPH)

This is the cheapest one-way flight price found by a Cheapflights user in the last 72 hours by searching for a flight departing on 12/11. Fares are subject to change and may not be available on all flights or dates of travel.
BOS — CPH
dic. 18 — dic. 251
jue. 12/18
jue. 12/25
1 adult, Economy
We work with more than 300 partners to bring you better travel deals

Find cheap flights from Boston to Copenhagen with Cheapflights

1. Tell us where you want to go

Enter your travel information like dates, passengers, trip type (one-way or round trip), and preferred cabin class then click “Find deals”

2. Select your favorite providers

We find the providers serving your travel needs. Choose up to four travel providers to compare side-by-side for flights, hotels, or car rentals.

3. Compare prices and book

Review each provider’s pricing and select the best option for you! Book through your favorite provider’s website for a seamless experience.

Cheapflights Tip: The best prices from Boston Logan Intl to Kastrup Copenhagen are usually found in October or March, booked 39 days in advance, depart on a Sunday or Monday and return on a Friday

Find flight deals from Boston to Copenhagen

Cheapest flights from Boston to Copenhagen
Explore the most affordable flight options available from Boston to Copenhagen. Find the lowest fares from popular airlines and budget airlines, with prices last updated on noviembre 18, 2025.

This Kiwi.com deal was found by Cheapflights users on 11/17. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
vie. 11/286:25 pmBOS - CPH
1 stop22h 15mAustrian Airlines
vie. 12/57:00 amCPH - BOS
1 stop13h 05mAustrian Airlines
Deal found 11/17$409
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
vie. 11/286:25 pmBOS - CPH
1 stop22h 15mAustrian Airlines
mar. 12/97:00 amCPH - BOS
1 stop13h 05mAustrian Airlines
Deal found 11/18$410
This Mytrip deal was found by Cheapflights users on 11/16. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Mytrip is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
mar. 11/1810:15 amBOS - CPH
2 stops16h 45mMultiple Airlines
sáb. 11/229:50 amCPH - BOS
2 stops15h 22mMultiple Airlines
Deal found 11/16$411
This Kiwi.com deal was found by Cheapflights users on 11/16. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
lun. 12/110:10 pmBOS - CPH
1 stop9h 50mMultiple Airlines
mar. 12/97:00 amCPH - BOS
1 stop13h 05mMultiple Airlines
Deal found 11/16$412
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
mar. 12/29:50 pmBOS - CPH
1 stop10h 20mMultiple Airlines
lun. 12/86:55 amCPH - BOS
2 stops13h 57mMultiple Airlines
Deal found 11/18$413
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
mié. 12/39:50 pmBOS - CPH
1 stop15h 15mMultiple Airlines
jue. 12/118:05 pmCPH - BOS
1 stop24h 00mMultiple Airlines
Deal found 11/18$414
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
jue. 11/2710:10 pmBOS - CPH
1 stop18h 55mMultiple Airlines
vie. 12/57:00 amCPH - BOS
1 stop13h 05mMultiple Airlines
Deal found 11/18$415
This Flightnetwork deal was found by Cheapflights users on 11/17. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Flightnetwork is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
lun. 11/176:40 pmBOS - CPH
2 stops32h 20mAir Canada
vie. 11/216:55 amCPH - BOS
2 stops20h 32mAir Canada
Deal found 11/17$417
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
lun. 12/110:10 pmBOS - CPH
1 stop9h 50mMultiple Airlines
sáb. 12/65:35 pmCPH - BOS
1 stop26h 30mMultiple Airlines
Deal found 11/18$420
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
mié. 11/199:50 pmBOS - CPH
1 stop15h 15mSWISS
mié. 11/263:00 pmCPH - BOS
1 stop11h 20mSWISS
Deal found 11/18$421
This Kiwi.com deal was found by Cheapflights users on 11/18. Clicking the “Pick Dates” button in this card will allow you to select your dates and further customize your flight criteria. From there, click “Find deals”, make sure Kiwi.com is selected, and click “Compare selected” under the list of providers to see comparable flight deals.
lun. 12/110:10 pmBOS - CPH
1 stop9h 50mSWISS
mié. 12/109:50 amCPH - BOS
1 stop16h 30mSWISS
Deal found 11/18$422

Cheap flight deals from Boston to Copenhagen

Discover tips and strategies to find the most affordable flight options for your journey from Boston (BOS) to Copenhagen (CPH). Learn about various techniques such as flexible date searches, comparing prices across and setting up price alerts. Use these methods to find the cheapest flights available for your travel needs. Data last updated noviembre 18, 2025.

Most accurate provider

eDreams
3 stars

Most trusted provider

Gurufare
3 stars

Round-trip from

$408
(CrystalTravel)

One-way from

$253
(Kiwi.com)

Popular in

June

Cheapest in

October

Average price

$525

Good round-trip deal

$540 or less

Good one-way deal

$393 or less
Provider with most accurate pricing for Boston Logan Intl-Kastrup Copenhagen flight deals.
Search Deals
Provider most trusted by Cheapflights users for Boston Logan Intl-Kastrup Copenhagen flights.
Search Deals
From Boston Logan Intl to Kastrup Copenhagen
Search Deals
One-way flight from Boston Logan Intl to Kastrup Copenhagen
Search Deals
Highest demand for flights based on searches. 14% potential increase in price ($97 potential increase over avg. RT price).
Search Deals
Cheapest flight prices on average. 3% potential price decrease ($18 potential savings vs. average RT price).
Search Deals
Average for round-trip flights in November 2025
Search Deals
Price to beat on a round-trip flight from Boston Logan Intl to Kastrup Copenhagen.
Search Deals
Price to beat on a one-way flight from Boston Logan Intl to Kastrup Copenhagen.
Search Deals

Cheapflights Fare Finder

 
Customize your flight search to find flights from Boston to Copenhagen that fit within your specific budget. Explore options based on user searches and filter the results based on your desired price range. Find flights that match your budget for a cost-effective journey. Over the last 7 days, Cheapflights users made 2,558,603 searches. Data last updated noviembre 18, 2025.
Use the filters below to find and compare flights from Boston to Copenhagen that are best for you.

Fly from

Boston

Fly to

Copenhagen

Route

Depart

Return

Price

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

vie. 11/28

10:10 pm-2:05 pm

1 stop9h 55m

Kastrup Copenhagen

jue. 12/11

9:50 am-8:00 pm

1 stop16h 10m

$441

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

vie. 11/28

10:10 pm-2:05 pm

1 stop9h 55m

Kastrup Copenhagen

vie. 12/5

9:50 am-8:00 pm

1 stop16h 10m

$441

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

vie. 2/27

6:15 am-12:25 pm

2 stops24h 10m

Kastrup Copenhagen

dom. 3/8

8:55 am-7:35 pm

1 stop15h 40m

$458

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

lun. 4/13

9:30 am-10:50 am

2 stops19h 20m

Kastrup Copenhagen

lun. 4/20

12:40 pm-3:30 pm

2 stops32h 50m

$458

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

dom. 2/8

1:24 pm-9:05 am

2 stops37h 41m

Kastrup Copenhagen

jue. 2/12

5:35 pm-2:05 pm

1 stop26h 30m

$459

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

mié. 12/3

9:59 am-9:00 am

2 stops17h 01m

Kastrup Copenhagen

mié. 12/10

6:00 am-6:55 pm

1 stop18h 55m

$469

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

mié. 12/3

9:50 pm-11:05 pm

2 stops19h 15m

Kastrup Copenhagen

mar. 12/9

8:55 am-10:37 pm

2 stops19h 42m

$473

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

vie. 12/5

3:40 pm-1:45 pm

2 stops16h 05m

Kastrup Copenhagen

vie. 12/12

9:50 am-9:45 pm

2 stops17h 55m

$477

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

mié. 5/6

5:40 pm-7:00 am

Nonstop7h 20m

Kastrup Copenhagen

mié. 5/13

1:25 pm-3:35 pm

Nonstop8h 10m

$479

BostonCopenhagen

BOS - CPH

BOSCPH

Boston Logan Intl

lun. 4/13

5:40 pm-7:00 am

Nonstop7h 20m

Kastrup Copenhagen

lun. 4/20

1:25 pm-3:35 pm

Nonstop8h 10m

$491

Flights are sorted by cheapest round-trip flights first.

Deals found on 11/17

Showing 1-10 of 20 results
1
2

Compare providers for flights from Boston to Copenhagen

Provider information is updated monthly. Please note that these providers often have deals for this flight, but the availability may vary on a day-by-day basis on Cheapflights.
Use the table below to compare price accuracy, trust ratings, and cancellation policies for each provider offering flight deals from Boston to Copenhagen in November.
ProviderPrice AccuracyTrust Score*
ExpediaPrice Accuracy2 starsTrust Score*3 stars
FlightHubPrice Accuracy3 starsTrust Score*1 star
eDreamsPrice Accuracy3 starsTrust Score*3 stars
AranGrantPrice Accuracy2 starsTrust Score*3 stars
CheapflightsfaresPrice Accuracy3 starsTrust Score*2 stars
Kiwi.comPrice Accuracy3 starsTrust Score*3 stars
oojoPrice Accuracy3 starsTrust Score*3 stars
CheapfaremartPrice Accuracy-Trust Score*1 star
GurufarePrice Accuracy2 starsTrust Score*3 stars
OvagoPrice Accuracy2 starsTrust Score*2 stars

*The Trust Score is based on feedback from users after their booking experience. It measures overall satisfaction, helping us identify issues like hidden fees, problems during the ticketing process, and the quality of customer service. This score is our best indicator of the provider's quality and reliability.

  • Most accurate provider: When it comes to deals on Boston-Copenhagen flights, users find the pricing of eDreams to be most consistent on Cheapflights vs. eDreams Users can find the same prices on Boston-Copenhagen flight deals on Cheapflights vs. eDreams >95% of the time. Price accuracy is based on data collected from Boston-Copenhagen flight searches over the past month and is updated monthly.
  • Most trusted provider: When it comes to deals on Boston-Copenhagen flights, Cheapflights users trust Gurufare the most. Gurufare has received a user feedback score of 3 out of 3 stars (3 being the best), meaning they have been trusted the most by Cheapflights users looking for Boston-Copenhagen flight deals. Provider user feedback score is based on Cheapflights searches over the past month and is updated monthly.

Best time to book a flight from Boston to Copenhagen

Have a flexible travel schedule? Discover the best time to fly to Copenhagen from Boston with our price prediction graph.
Estimated round-trip price
Rates are based on past data. Find the cheapest month and day to book your flight based on your travel requirements, then search for cheap deals.

Cheapflights Insights

Everything you need to know about your flight from Boston to Copenhagen

How far ahead should I book a flight from Boston to Copenhagen?

Use this chart to determine the optimal time to book a round-trip flight from Boston to Copenhagen. Price data was last updated on November 14, 2025.

Booking 39 days in advance of your planned departure date is, on average, the best time to get cheap flights from Boston to Copenhagen. The general trend is that the closer you book to the departure date, the more expensive your flight will be.

What is the cheapest month to book a flight from Boston to Copenhagen?

Currently, February is the cheapest month in which you can book a flight from Boston to Copenhagen (average of $286). Flying from Boston to Copenhagen in June is currently the most expensive (average of $507). There are several factors that can impact the price of a flight, so comparing airlines, departure airports and flight times can provide users with more options.

What is the cheapest time of day to fly from BOS to CPH?

Find hourly flight availability from Boston to Copenhagen. Discover flight options and departure times throughout the day, allowing you to choose a departure time that suits your schedule. Data last updated noviembre 18, 2025.

When flying from Boston to Copenhagen, the time of day you fly usually plays a role in the price. Save by searching for a flight in the evening, which can drop the price by up to 10% versus a flight at noon.

The best insider tips for Boston to Copenhagen flights

Snippets provided in this section are AI-generated based on a summarization of Cheapflights-commissioned articles. The articles are presented as-is, for general informational purposes only, and may not be up-to-date. The opinions contained in the articles are original to the author and reflect their authentic experience, which may vary significantly from the experience of others.
Cheapflights partnered with top experts to bring you the best recommendations for your Boston to Copenhagen trip
Airports
BOS

Use the FlyLogan App to pre-order food and access premium Wi-Fi at BOS, saving time before your flight to CPH.

Read more about BOSby Paul Rubio
CPH

The Metro is the easiest way to reach Copenhagen from CPH, with trains every 5 minutes during the day.

Read more about CPHby John Walton
Our travel experts
Paul Rubio

Paul Rubio

Expert on BOS

Paul Rubio

Paul Rubio

Travel journalist and photographer Paul Rubio is a Miami native (and current resident), who has lived in nine countries and traveled to 137. He is an expert in luxury travel, eco-travel, loyalty programs, hotels, airports and airlines. He is a contributing editor at AFAR, Condé Nast Traveler, LUXURY Magazine, and Palm Beach Illustrated.

Read more
John Walton

John Walton

Expert on CPH

John Walton

John Walton

Independent aviation journalist John Walton took his first flight at eight weeks old and hasn’t stopped travelling since. A world-renowned expert in airlines and the passenger experience, he writes in depth on aviation, is a resident expert on travel in Japan and France, and offers a uniquely queer perspective on travelling the world.

Read more

Reviews of airlines servicing Copenhagen

Get insights into the airlines that provide service to Copenhagen. Read reviews, discover amenities, and learn about the overall travel experience offered by airlines. Use this information to make informed decisions when choosing an airline for your flight to Copenhagen. Reviews last updated noviembre 18, 2025.
Read reviews from past customers who have flown Delta, KLM, and Scandinavian Airlines from Boston to Copenhagen. Users can see the overall rating for each airline as well as how each is rated in terms of entertainment options, comfort, food, crew/service, and boarding process.
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.
Delta
7.9
Good
8,003 reviews
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.
KLM
7.7
Good
1,411 reviews
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.
Scandinavian Airlines
7.4
Good
1,583 reviews
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.
Icelandair
7.0
Good
580 reviews
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.
PLAY
7.0
Good
Delta
7.9
Good
8,003 reviews

Comfort

7.9

Overall

7.9

Boarding

8.1

Entertainment

7.9

Crew

8.5

Food

7.3

Reviews

1 / 20
6.0
Good

Jim,Nov 2025

AVL - ATL

The exit row seats without a seat in front are great for leg room but don’t have a fold out entertainment console so you’re forced to use the screen several feet in front of you (there is, at least, a remote). Best to bring a tablet loaded with entertainment or a book.

Related info for your journey

Find useful and relevant information for your journey from Boston to Copenhagen. Access travel guides, tips, and recommendations to enhance your travel experience. Get information about local attractions, weather, transportation options, and more.

  • What airports do I use to fly from Boston to Copenhagen?

    If you wish to fly to Copenhagen from Boston, then you need to book flights from Boston Logan Intl to Kastrup Copenhagen. There is 1 flight from Logan Intl (BOS) to Kastrup Copenhagen (CPH) per day to choose from. Flights to Copenhagen from Logan Intl are available from 13 different airlines, which means you should have some options if you want to compare airfare deals. 7h 20m is how long a nonstop flight from Boston to Kastrup Copenhagen typically takes.

  • How popular is this Boston to Copenhagen flight route?

    Flights from Boston Logan Intl to Kastrup Copenhagen have been viewed 41 times in the past calendar month.

  • How long is the flight from Boston to Copenhagen?

    There are many flights that can get you from Boston to Copenhagen in 9h 55m. Fly via United Airlines to get the fastest option. There are 3658 mi between Boston and Copenhagen.

  • What are the cheapest airlines flying from Boston to Copenhagen round-trip?

    Our cheapest airline available from Boston to Copenhagen is PLAY. Our recent data shows that you can find tickets from as low as $291 on this airline. Additional options worth looking into are SWISS and TAP AIR PORTUGAL, starting at $318 and $364 round-trip. These flights start at 50% lower than the current average price 3 months from now.

  • What are the most reliable airlines from Boston to Copenhagen?

    No one likes to see their flight delayed. When booking a flight from Boston to Copenhagen consider choosing Air France (83%), Scandinavian Airlines (82%) or Delta (82%) as they are the most reliable in getting you off to your destination on time.

  • What are the cheapest flights from Boston to Copenhagen?

    Looking at all options, your cheapest flight can be booked for $369. While the most popular route (Boston Logan Intl - Kastrup Copenhagen) can be booked for $385 on average, our data indicates $1,423 when flying from Boston to Copenhagen.

  • Can I find deals for flights from Boston to Copenhagen that include hotel bookings?

    Yes. In addition to deals on Boston to Copenhagen flights, Cheapflights offers vacation packages that include both flights and hotel.

  • How can I find direct flights from Boston to Copenhagen?

    After entering your origin and destination, apply the non-stop filter on the search result page to find direct flights from Boston to Copenhagen.

  • Can I find deals for business class flights from Boston to Copenhagen?

    Yes. Cheapflights offers flight deals from Boston to Copenhagen by cabin class. In addition to browsing deals, you can also filter by cabin class on the search results page after making a search.

  • What is the cheapest month to book a flight from Boston to Copenhagen?

    Currently, February is the cheapest month in which you can book a flight from Boston to Copenhagen (average of $286). Flying from Boston to Copenhagen in June is currently the most expensive (average of $507). There are several factors that can impact the price of a flight, so comparing airlines, departure airports and flight times can provide users with more options.

See more FAQs

Traveling to a place near Copenhagen?

Book flights to Copenhagen if you plan to visit one of these locations
Kastrup

Browse thousands of different options on Cheapflights for your next trip

Toggle through the tabs below to find thousands of options on Cheapflights for your next trip.

Alternative routes for Boston to Copenhagen

See prices for flight routes from nearby airports that may be better suited for you.
Boston to Billund flights
Albany to Copenhagen flights
Hartford to Copenhagen flights
Boston to Aarhus flights
Albany to Billund flights
Boston to Aalborg flights

Top 10 airlines flying from Boston to Copenhagen

Discover the top 10 airlines that operate flights from Boston to Copenhagen. Compare their services, reliability, and customer satisfaction ratings to choose the airline that best suits your travel preferences and needs. Over the last 7 days, Cheapflights users made 2,558,603 searches. Data last updated noviembre 18, 2025.
AirlineCheapestAverageFlexibilityOn-time
PLAYCheapest$291Average$403FlexibilityNo cancel feeOn-timeN/A
SWISSCheapest$318Average$585FlexibilityNo cancel feeOn-time79%
TAP AIR PORTUGALCheapest$364Average$401FlexibilityNo cancel feeOn-timeN/A
IcelandairCheapest$408Average$541FlexibilityNo cancel feeOn-time76%
Scandinavian AirlinesCheapest$415Average$670FlexibilityNo cancel feeOn-time77%
American AirlinesCheapest$416Average$685FlexibilityNo cancel feeOn-time71%
Air CanadaCheapest$425Average$568FlexibilityNo cancel feeOn-time67%
United AirlinesCheapest$433Average$554FlexibilityNo cancel feeOn-time69%
Air FranceCheapest$449Average$557FlexibilityNo cancel feeOn-time77%
British AirwaysCheapest$462Average$613FlexibilityNo cancel feeOn-time70%

100% Free

Cheapflights is completely free to use, so you can start saving the moment you arrive.

Book with Flexibility

Our users can plan ahead with confidence and find flights with no change fees

Travel Smart

Millions of people come to us for their flight needs every year. We help make travel planning easy by providing useful insights and data-driven graphs that can inform your decisions.