Question6. A rental car agency charges $\$ 240$ per week plus $\$ 0.25$ per mile to rent a car. The charge for a minivan is $\$ 180$ per week plus $\$ 0.40$ per mile. After how many miles is the total charge for each vehicle the same?

Studdy Solution
Solve the equation for the number of miles.
First, subtract $0.25m$ from both sides: $$240 = 180 + 0.15m$$
Next, subtract $180$ from both sides: $$60 = 0.15m$$
Finally, divide both sides by $0.15$: $$m = \frac{60}{0.15}$$ $$m = 400$$
The total charge for each vehicle is the same after $\boxed{400}$ miles.