Question

Gas mileage actually varies slightly with the driving speed of a car​ (as well as with highway vs. city​ driving). Suppose your car averages 26
miles per gallon on the highway if your average speed is 45


miles per​ hour, and it averages 18


miles per gallon on the highway if your average speed is 65


miles per hour. Answer parts​ (a) and​ (b) below.

a. What is the driving time for a 2500

​-mile

trip if you drive at an average speed of 45


miles per​ hour? What is the driving time at 65


miles per​ hour?

Answer 1

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per​ hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500​-mile trip if you drive at an average speed of 54 miles per​ hour

$= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.$

The driving time for a 2500​-mile trip if you drive at an average speed of 65 miles per​ hour

$= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.$