Gas mileage actually varies slightly with the driving speed of a car(as well as with highway vs. citydriving). Suppose your car averages33miles per gallon on the highway if your average speed is51miles perhour, and it averages32miles per gallon on the highway if your average speed is66miles per hour. Answer parts(a) and(b) below.

a. What is the driving time for a2900mile trip if you drive at an average speed of51miles perhour? What is the driving time at66miles perhour?

The driving time at51miles per hour is ___ hours.

(Type an integer or decimal rounded to two decimal places asneeded.)

The driving time is at66miles per hour is ____hours.

(Round to two decimal places asneeded.)

b. Assume a gasoline price of $4.65per gallon. What is the gasoline cost for a2900mile trip if you drive at an average speed of51miles perhour? What is the gasoline cost at66miles perhour?

The gasoline cost at51miles per hour is $_____

(Round to two decimal places asneeded.)

The gasoline cost at66miles per hour is $____

(Round to two decimal places asneeded.)