Juan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of

Question

$57.98
and costs an additional
$0.09
per mile driven. The second plan has an initial fee of
$49.98
and costs an additional
$0.14
per mile driven. How many miles would Juan need to drive for the two plans to cost the same?

Answer 1

solve for m, the number of miles

.09m + 57.98 = .14m + 49.98
9m + 5798 = 14m + 4998
...