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

Respuesta :

Answer: you will save with plan B for miles greater than 153.8 miles.

Step-by-step explanation:

Let x represent the number of miles driven with either plans per day.

Plan A: 30 dollars per day and 13 cents per mile. Converting cents to dollars, it becomes 13/100 = $0.13. It means that the total cost of driving x miles with plan A is

30 + 0.13x

Plan B: 50 dollars per day with free unlimited mileage. It means that the total cost of driving x miles with plan B is 50 dollars

For you to save money with plan B, it means that 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 > 153.8