Question

You need to rent a truck so you contact two local rental companies and accquire the following information for the one day cost of renting a truck:

Company 1: $39.95 per day
Company 2: $19.95 per day plus, $0.49 per mile.

1) Write an equation that represents the total daily rental cost for one company in terms of the number of miles driven.

2) Write an equation that represents the total daily rental cost for a company two in the terms of the number of miles driven

3) Write an equation to determine For What mileage the one-day rental cost would be the same. Solve it.

4) For which mileages would company to have the lower price?

Answer 1

Company 1 = 39.95x [Equation]

Company 2 = 19.95+0.49x [Equation]

19.95+0.49x = 39.95 [Wanted price]

0.49x=20 [Multiply till you get 39.95 or close]

m≈40.82 [solution]

When the mileage is greater than 40.82 miles, Company 1 will be less than Company 2 always.

Answer 2

C1=39.95,

C2=19.95+0.49m

19.95+0.49m=39.95

0.49m=20

m≈40.82

At any point where the mileage is greater than 40.82 mi, C1 will be less than C2.