A car traveling 60 mph on the highway gets 28 miles per gallon. Write a function that represent the distance d (t) in miles that the car travels in t hours.

Question

1. A car traveling 60 mph on the highway gets 28 miles per gallon. Write a function that represent the distance d (t) in miles that the car travels in t hours.

2. Write a function that represents the number of gallons of gasoline n (d) used for d miles of travel

3. Evaluate (n o  d)(t) . Be sure to use the proper composition notation and reduce your result to an improper fraction

4. Evaluate  (n o d)(7) and interpret the meaning in the context of the problem

Answer 1

1) d(t)=60t

2) n(d)=d/28

3) n(d(x))= 60t/28 

    n(d(x))=15t/7

4) n(d(7))= 15(7)/7 =15

 

This means, if I travel 7 hours, I will need 15 gallons of gas.