Question

Jared is traveling and decides to use a rental car. He is trying to decide between two rental car companies. Hearts charges a flat rate of $50 in addition to one dollar per mile in the rental car, while Enterprise charges a flat rate of $25 and two dollars per mile driven in the rental car. For how many miles driven will the cost be the same?

A. 10 miles
B. 25 miles
C. 30 miles
D. 50 miles

Answer 1

To find the number of miles driven at which the cost will be the same for both rental car companies, set up an equation with the cost for each company, $50 + $1x for Hearts and $25 + $2x for Enterprise, and solve for the intersection point. The cost will be the same for both companies at a distance of 25 miles driven.

Step-by-step explanation:

To find the number of miles driven at which the cost will be the same for both rental car companies, we need to set up an equation with the cost for Hearts and the cost for Enterprise and find the intersection point. Let the number of miles driven be represented by x. For Hearts, the cost is $50 + $1x and for Enterprise, the cost is $25 + $2x. Set up the equation: $50 + $1x = $25 + $2x. Simplifying the equation, we have $25 = $x, or x = 25 miles. Therefore, the cost will be the same for both companies at a distance of 25 miles driven.