Question

Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $61.96 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $51.96 and costs an additional $0.14 per mile driven. How many miles would Melissa need to drive for the two plans to cost the same?

Answer 1

To determine the number of miles that Melissa would need to drive for the two plans to cost the same, we can set up an equation based on the given information.

Let's assume the number of miles driven is represented by 'm'.

For the first plan, the total cost can be calculated as:
Cost of first plan = Initial fee + (Cost per mile * Number of miles)
Cost of first plan = $61.96 + ($0.10 * m)

For the second plan, the total cost can be calculated as:
Cost of second plan = Initial fee + (Cost per mile * Number of miles)
Cost of second plan = $51.96 + ($0.14 * m)

We need to find the number of miles (m) that make the two plans cost the same. So we can set up the equation:
$61.96 + ($0.10 * m) = $51.96 + ($0.14 * m)

Next, we can solve for m:
$61.96 - $51.96 = ($0.14 * m) - ($0.10 * m)
$10.00 = $0.04 * m
m = $10.00 / $0.04
m = 250

Therefore, Melissa would need to drive 250 miles for the two plans to cost the same.

Answer 2

250 miles you have to turn all of the money into whole numbers and divide them all pick up the remainder make it into a fraction