Question

Susan is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $94 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

Answer 1

According to the information given in the exercise:

- Company A charges $94 and allows unlimited mileage.

- Company B has an initial fee of $55 and charges an additional $0.60 for every mile driven.

- The variable "m" represents the number of miles driven.

Then, using that information, you can set up this equation for the total charge in Company A:

`A=94`

And you can also set up this equation for the total charge in Company

`B=55+0.60m`

Since you must find for what mileages the Company A will charge less than Company, you need to set up the following inequality:

`AKnowing the equations for A and B, you can substitute it into the inequality:<p></p>[tex]94<55+0.60m`

Now you can solve for "m":

Hence, the answer is:

Company A will charge less than Company B for:

`m>65`