the first plan has an initial fee of $55 and costs an additional $0.15 per mile driven. the second plan has an initial fee of $50 and cost an additional $0.20 per mile driven

Question

mai will rent a car for the weekend. she can choose one of two plans. the first plan has an initial fee of $55 and costs an additional $0.15 per mile driven. the second plan has an initial fee of $50 and cost an additional $0.20 per mile driven

For what amount of driving do the two plans cost the same?

what is the cost when the two plans cost the same ?

Answer 1

55+.15M = 50+.2M

.05M = 5

M = 5/.05 =1/.01 = 100 miles

50+.2(100) = 50 +20 = $70 for 100 miles on either plan