Question

Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $43.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $49.98 and costs an additional $0.12 per mile driven. How many miles would Mal need to drive for the two plans to cost the same?​

Answer 1

Mal would have to drive 300 miles to have both plans cost the same.

Explanation:

Plan 1:

43.98+0.14X

Plan 2:

49.98+0.12x

Make the inequality: 43.98+0.14x = 49.98+0.12x

Subtract 43.98 from both sides of the equation.

0.14x = 6+0.12x

Subtract 0.12x from both sides of the equation.

0.02x = 6

Divide 0.02 from both sides.

x = 300

Hope this helps!