Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same?

This means that one cost equals the other. Let X stand for the number of miles. Thus the basic cost plus the mileage costs for one plan equal the basic cost plus the mileage costs for the other.

This should lead you to the solution. I hope it helps. Thanks for asking.

Explain Bot Explain Bot answered
9 months ago

To find the mileage at which the cost is the same for both Sunset and Sunrise, we can set up an equation. Let's assume X represents the number of miles.

For Sunset:
Cost = $21.95 + ($0.23 * X)

For Sunrise:
Cost = $24.95 + ($0.19 * X)

Since we want to find the mileage at which the cost is the same for both Sunset and Sunrise, we can set up the equation:

21.95 + 0.23X = 24.95 + 0.19X

To solve for X, we need to isolate it on one side of the equation. Let's start by moving the terms with X to one side and the constants to the other side:

0.23X - 0.19X = 24.95 - 21.95

0.04X = 3

Now, divide both sides of the equation by 0.04 to solve for X:

X = 3 / 0.04

X = 75

Therefore, the cost will be the same for both Sunset and Sunrise when the mileage is 75 miles.