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

240 miles

Step-by-step explanation:

Let's set up an equation for each vehicle:

Car Agency:

y =.25x + 240

Where y is the total cost and x is the number of miles driven

Minivan Agency:

y =.40x + 180

Where y is the total cost and x is the number of miles driven

Now, let's find the number of miles it will take for the total cost of the vehicles to be the same. In order to this, set the equations equal to themselves.

Solve:

y =.25x + 240

y =.40x + 180

.25x + 240 =.40x + 180

Subtract. 25x on both sides:

.25x + 240 =.40x + 180

-.25x -.25x

240 =.15x + 180

Subtract 180 on both sides:

240 =.15x + 180

-180 - 180

60 =.25x

Divide by. 25 on both sides:

60 =.25x

/.25 /.25

240 = x

Therefore, after 240 miles, the total charge for each vehicle will be the same.