Lashonda 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 $96 and allows unlimited mileage. company b has an initial fee of $75 and charges an additional $0.70 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.

30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage > I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m > II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)