A car can be rented for \( \$ 60 \) per week plus \( \$ 0.80 \) per mile. How many miles can be driven if you have most \( \$ 120 \) to spend for weekly transportation? You can drive at most miles a week.

To find out how many miles can be driven if you have the most \$120 to spend for weekly transportation, we need to set up an equation based on the given information. Let \( x \) be the number of miles driven per week. The cost of renting the car for one week is $60, and the cost per mile is $0.80. Therefore, the total cost for driving \( x \) miles per week is given by: \[ 60 + 0.80x \] We are given that the maximum amount you can spend for weekly transportation is $120. So, we can set up the equation: \[ 60 + 0.80x = 120 \] Now, we can solve this equation to find the maximum number of miles that can be driven per week. Solve the equation by following steps: - step0: Solve for \(x\): \(60+0.8x=120\) - step1: Move the constant to the right side: \(0.8x=120-60\) - step2: Subtract the numbers: \(0.8x=60\) - step3: Divide both sides: \(\frac{0.8x}{0.8}=\frac{60}{0.8}\) - step4: Divide the numbers: \(x=75\) The maximum number of miles that can be driven per week is 75 miles.