7th Gr Martina 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 \( \$ 115 \) and allows unlimited mileage. Company B has an initial fee of \( \$ 55 \) and charges an additional \( \$ 0.80 \) 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 \( m \).

To compare the costs of both companies, let's set up the inequality based on their pricing structures. Company A's cost is constant: \[ \text{Cost of Company A} = 115 \] Company B's cost will depend on the mileage: \[ \text{Cost of Company B} = 55 + 0.80m \] We want to find when Company A is cheaper than Company B, so we set up the inequality: \[ 115 < 55 + 0.80m \] Now, subtract \( 55 \) from both sides: \[ 115 - 55 < 0.80m \] \[ 60 < 0.80m \] Next, divide both sides by \( 0.80 \) to solve for \( m \): \[ \frac{60}{0.80} < m \] \[ 75 < m \] Thus, to put it more simply, Company A will charge less than Company B when the mileage \( m \) is greater than \( 75 \) miles. So, if Martina drives more than \( 75 \) miles, she should choose Company A for better savings!