Zachary can spend no more than $98 per day to rent a car. A car rents for $42 per day plus $0.20 per mile. What is the maximum number of miles that he can drive the car?

Total Cost = $0.20x+$42.00

Total Cost = $98.00

$98.00 = $0.20x+$42.00

Subtract $42.00 from each side of the equation

$56.00=$0.20x

Divide both sides by $0.20

x=280 miles

Zachary could drive a maximum of 280 miles per day that he rents the car.