Question

A car rental company offers two plans for renting a car: Plan A: 30 dollars per day and 13 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range of miles will plan B save you money for a 1 day rental?

Answer 1

500 miles.

Explanation:

Plan A: y=0.2(m)+75

Plan B: y=0.35(m)

Substitute plan a's y for plan b's

0.35m=0.2x+75

0.35m-0.2=75

0.15x=75

Divide both sides by 0.15

x=500

The rental fee will be the same under both plans A and B for 500 miles.

Answer 2

Answer: In order to save money for a 1 day rental with plan B, the number of miles must be greater than 153.84 miles

Explanation:

Let x represent the number of miles driven with either plan A or B.

Plan A: 30 dollars per day and 13 cents per mile. It means that the cost of renting the car or one day and driving x miles is

30 + 0.13x

Plan B: 50 dollars per day with free unlimited mileage. It means that the cost of renting the car or one day and driving x miles is 50

In order to save money for a 1 day rental with plan B, the number of miles would be

50 < 30 + 0.13x

50 - 30 < 0.13x

20 < 0.13x

0.13x > 20

x > 20/0.13

x > 153.84 miles