Austin is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Company A charged $114 and allows unlimited mileages
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven
For what mileages will company A charged less than company B
Use m for the number of miles driven, and solve your inequality for m

1 answer

For Company A, the cost is $114 and there are no additional charges for mileage.

For Company B, the cost consists of an initial fee of $65 and an additional charge of $0.70 for every mile driven.

To find the mileage at which Company A charges less than Company B, we need to set up an inequality and solve for m (the number of miles driven).

The inequality is: 114 < 65 + 0.70m

Subtracting 65 from both sides of the inequality, we get:
49 < 0.70m

To solve for m, divide both sides of the inequality by 0.70:
m > 70

Therefore, Company A charges less than Company B when the number of miles driven is greater than 70.