Question

Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.96 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $39.96 and costs an additional $0.18 per mile driven. How many miles would Manuel need to drive for the two plans to cost the same?

A. 120
B. 240
C. 360
D. 480

Answer 1

Manuel would need to drive 240 miles for the two plans to cost the same.

Step-by-step explanation:

To find the number of miles Manuel would need to drive for the two plans to cost the same, we can set up an equation. Let x represent the number of miles. For the first plan, the cost is $51.96 + $0.13x. For the second plan, the cost is $39.96 + $0.18x. We want to find the value of x for which the two costs are equal. So we set up the following equation: $51.96 + $0.13x = $39.96 + $0.18x. We can solve this equation for x:

$51.96 + $0.13x = $39.96 + $0.18x
$12 = $0.05x
x = $12 / $0.05
x = 240

Therefore, Manuel would need to drive 240 miles for the two plans to cost the same.