9. Safety Rent-A-Truck rents a truck at a daily rate of \( \$ 41.95 \) plus \( 29 ¢ \) per mile. City Rentals rents the same size truck for \( \$ 38.95 \) plus \( 31 \varnothing \) per mile. For what mileage is the cost the same?

To find the mileage where the cost of renting the trucks from Safety Rent-A-Truck and City Rentals is the same, we can set up an equation based on their pricing structures. Let \( x \) be the number of miles driven. The cost for Safety Rent-A-Truck can be expressed as: \[ Cost_{Safety} = 41.95 + 0.29x \] For City Rentals, the cost is: \[ Cost_{City} = 38.95 + 0.31x \] Setting the two costs equal to each other gives us: \[ 41.95 + 0.29x = 38.95 + 0.31x \] Now, we can solve for \( x \): 1. Subtract \( 0.29x \) from both sides: \[ 41.95 = 38.95 + 0.02x \] 2. Subtract \( 38.95 \) from both sides: \[ 3.00 = 0.02x \] 3. Divide both sides by \( 0.02 \): \[ x = \frac{3.00}{0.02} = 150 \] Thus, the mileage at which the cost of renting the trucks is the same is **150 miles**.