Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an add
itional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional of $0.13 per mile driven. For what about of driving do the two plans costs the same? And what is the cost when the two plans cost the same?
The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...
$9.00/($0.02/mi) = 450 mi
At that distance, the rental cost is ...
$50 +450×$0.15 = $50 +67.50 = $117.50
Both plans will cost $117.50 for 450 miles of driving.
This is because; 14 - 2(4.50) =5 The total amount of money he can spend minus the money he spent on the paperback books equal the money he has left to use.