Question

Nicole is going to rent a truck for one day. There are two companies she can choose from, and they have the following pricesCompany A has no initial fee but charges 79 cents for every mile. Company B charges an initial fee of $75 and an additional 50 cents for every mile driven. For what mileage will company A charge more than company B?Use m for the number of miles driven and solve your inequality.

Answer 1

m > 258.62 miles

Step-by-step explanation

Let the number of miles be m.

Company A has no initial fee but there is a charge of 79 cents ($0.79) per mile.

This means that after m miles, Company A's charge is:

0.79 * m = $0.79m

Company B has an initial fee of $75 and an additional charge of 50 cents ($0.50) per mile.

This means that after m miles, Company B's charge is:

75 + 0.50m

For company A to charge more than company B, then:

0.79m > 75 + 0.50m

Simplify and find m:

0.79m - 0.50m > 75

=> 0.29m > 75

Divide through by 0.29:

m > 75 / 0.29

m > 258.62 miles

That is the answer.