Final answer:
To determine the number of miles that results in the same cost for one day for EZ Car Rental and Ace Rent-A-Car, we set up an equation and solve for 'x'. The equation is $35 + $0.35x = $30 + $0.45x. By simplifying and solving the equation, we find that driving 50 miles will result in the same cost for one day for both rental companies.
Step-by-step explanation:
To find the number of miles that results in the same cost for one day for EZ Car Rental and Ace Rent-A-Car, we need to set up an equation and solve for the number of miles, denoted as 'x'.
For EZ Car Rental, the cost is $35 + $0.35x.
For Ace Rent-A-Car, the cost is $30 + $0.45x.
Setting up the equation: $35 + $0.35x = $30 + $0.45x
Simplifying the equation: $0.10x = $5
Dividing both sides by $0.10: x = 50
Therefore, driving 50 miles will result in the same cost for one day for both car rental companies.