Question

a person recently rented a car with a full tank of gas and 6624 miles on the odometer. after 3 days, he returned the car with 7214 miles on the odometer. if the rental agency charged him $96.65 for the rental and it took 11 gallons of gas to fill up the tank, determine the following rates. complete parts a through c below.
a. find the cars rate of gas mileage, in miles per gallon.
53.64 miles per gallon
(simplify your answer. type an integer or decimal rounded to the nearest hundredth as needed.)
b. find the average cost of the rental, in dollars per day.
blank dollars per day
(simplify your answer. type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Calculate total miles driven

The initial odometer reading is 6624 miles and the final is 7214 miles. So the total miles driven is $7214 - 6624=590$ miles.

Step2: Calculate gas mileage

Gas mileage is miles per gallon. We know 11 gallons of gas were used and 590 miles were driven. So gas mileage is $\frac{590}{11}\approx53.64$ miles per gallon (already given and verified).

Step3: Calculate average cost per day

The total cost of the rental is $96.65$ and the rental period is 3 days. The average cost per day is $\frac{96.65}{3}\approx32.22$ dollars per day.

Answer:

a. 53.64 miles per gallon
b. 32.22 dollars per day