Final answer:
To find the number of miles you must drive to have the same cost for each of the car rentals, set up an equation and solve it. The equation would be 15 + 0.50x = 25 + 0.25x. By subtracting 0.25x and simplifying, we find that x = 40. Therefore, you must drive 40 miles to have the same cost for each car rental.
Step-by-step explanation:
To find the number of miles you must drive to have the same cost for each of the car rentals, we can set up an equation.
Let x represent the number of miles driven.
For car one, the cost is $15 + $0.50 per mile, so the total cost can be expressed as 15 + 0.50x.
For car two, the cost is $25 + $0.25 per mile, so the total cost can be expressed as 25 + 0.25x.
Setting these two costs equal to each other, we have the equation: 15 + 0.50x = 25 + 0.25x.
To solve this equation, we can subtract 0.25x from both sides: 15 + 0.25x = 25.
Subtracting 15 from both sides, we have: 0.25x = 10.
To isolate x, we can divide both sides by 0.25: x = 40.
Therefore, you must drive 40 miles to have the same cost for each of the car rentals.