Bill wants to rent a car. rental company a charges $35 per day plus $0.10 per mile driven. rental company b charges $25 per day plus $0.15 per mile driven. after how many miles driven will the price charged by each company be the same?

200 miles.

Step-by-step explanation:

Let m represent number of miles.

We have been given that rental company A charges $35 per day plus $0.10 per mile driven. So total cost of m miles by company A would be .

We are also told that rental company B charges $25 per day plus $0.15 per mile driven. So total cost of m miles by company B would be .

To find the number of miles that will result in same rental, we will equate both expressions and solve for m.

Therefore, after 200 miles the prices charged by each company would be the same.