Question

A car rental company offers two plans for renting a car.

Plan A: $30.00 per day and 18 cents per mile.
Plan B: $69.60 per day with free unlimited mileage.
If you plan to rent the car for one day, and
m represents the number of miles driven in that day, for how many miles driven would you save money with plan B?

Answer 1

To determine how many miles you would need to drive in order to save money with Plan B, set the costs of the two plans equal to each other and solve for the number of miles driven. If you drive more than 220 miles in one day, you would save money with Plan B.

Step-by-step explanation:

To determine the number of miles driven where you would save money with plan B, we need to compare the costs of both plans.

For Plan A, the cost per day is $30.00 and the cost per mile is 18 cents. Therefore, the total cost for Plan A can be represented as: $30.00 + ($0.18 * m), where m is the number of miles driven.

For Plan B, the cost per day is $69.60, regardless of the number of miles driven.

To find the point at which Plan B becomes cheaper, we can set the costs of both plans equal to each other and solve for m:

$30.00 + ($0.18 * m) = $69.60

Simplifying the equation, we get: $0.18 * m = $39.60

Dividing both sides by $0.18, we find that m = 220. Therefore, if you drive more than 220 miles in one day, you would save money with Plan B.