Question

A rent-a-car company charges a weekly rate of $175 plus $0.40 per mile over 500 miles. Leroy’s family budgeted $250 to rent a car for their vacation. Write an inequality that can be used to find the greatest number of miles Letoy’s family can drive the rent-a-car to stay within their budget.

Answer 1

Explanation:

Let M represent the number of miles Leroy's family can drive the rent-a-car to stay within their budget of $250.

The cost of renting the car can be calculated using the formula:

Cost = Weekly Rate + (Miles Driven - 500) * Cost per Mile

In this case, the weekly rate is $175, and the cost per mile over 500 miles is $0.40. So, we can write the cost equation as:

Cost = $175 + ($0.40 * (M - 500))

To stay within their budget of $250, the cost should be less than or equal to $250:

$175 + ($0.40 * (M - 500)) ≤ $250

Now, you have the inequality that can be used to find the greatest number of miles Leroy's family can drive to stay within their budget:

$175 + ($0.40 * (M - 500)) ≤ $250