A rental car agency charges $12 per day plus $.09 per mile to rent a

certain car. Another agency charges $8 per day plus $.11 per mile to

rent the same type of car. How many miles per day will have to be

driven for the cost of a car from the first agency to equal the cost of

a car from the second agency?

The cost of renting will be the same for 200 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 12 + 0.09n

B: C = 8 + 0.11n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

12 + 0.09n = 8 + 0.11n

0.02n = 4

n = 200