# Greg will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $42 and costs an additional$0.20 per mile driven. The second plan has an initial fee of $53 and costs an additional$0.15 per mile drive?

Jun 26, 2018

When the second option becomes cheaper?

#### Explanation:

$42 + \left(0.2 \times L\right) = 53 + \left(0.15 \times L\right)$

$0.2 \times L - 0.15 \times L = 53 - 42$

$0.05 L = 11$

$L = \frac{11}{0.05}$

$L = 220$

If Greg makes greater than 220 miles, he should rent the car from the second company.

If the total mileage is less than 220 miles, it is better to rent a car from the first company.