Airline Fuel The amount of airline fuel consumed by Southwest Airlines each year bet...

Airline Fuel The amount of airline fuel consumed by Southwest Airlines each year between 2004 and 2008 can be modeled as

where t is the number of years since 2004.

(Source: Based on data from Bureau of Transportation Statistics)

a. Calculate the amount of fuel consumed in 2007.

b. Use the algebraic method to develop a formula for the derivative of f.

c. How quickly was the amount of fuel used by Southwest Airlines changing in 2007? Interpret the result.