Question

All will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $73.98 and costs an additional S0.09 per mille driven. Thesecond plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven, How many miles would All need to drive for the two plans to cost thesame?

Answer 1

350 miles

1) Let's set those two equations:

1st plan:

73.98+0.09x 0.09x because that 0.09 depends on how many miles are driven

2nd plan:

59.98 +0.13x 0.13x because that 0.13 depends on how many miles are driven

2) We need now to equate those two equations so that we can find out how many miles

73.98 +0.09x = 59.98+0.13x Subtract 0.09x from both sides

73.98 = 59.98 +0.13x -0.09x Subtract 59.98 from both sides

73.98 -59.98 = 0.04x

14= 0.04x Divide both sides by 0.04

x =350

3) Hence, driving 350 miles won't matter choosing the 1st or the 2nd plan.