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:

[tex]94<55+0.60m$

Now you can solve for "m":

$\begin{gathered} 94-55<0.60m \\ 39<0.60m \\ \\ \frac{39}{0.6}[tex]65[tex]m>65$

Hence, the answer is:

Company A will charge less than Company B for:

$m>65$