SOLUTION: Heey, Can You Help Me Solve This Word Problem?(: Thank Youu. Ace Rent A Car charges a flat fee of $20 and $0.20 a mile for their cars. Acme Rent A Car charges a flat fee of $38 an

Question 344076: Heey, Can You Help Me Solve This Word Problem?(: Thank Youu.
Ace Rent A Car charges a flat fee of $20 and $0.20 a mile for their cars. Acme Rent A Car charges a flat fee of $38 and $0.10 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive then Acme Rent a Car.
c=20+0.2m Ace
c=38+0.1m Acme
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of miles traveled.

Then:

Represents the total cost in dollars of renting from Company #1 for

miles.

Whereas:

Represents the total cost in dollars of renting from Company #2 for

miles.

Clearly, for small values of

is less expensive. Substitute 1 mile for

in each of the functions and see which is smaller, i.e. less expensive.

Also, for large values of

becomes less expensive at some point. Substitute 1000 for

in each of the functions and see which is smaller, i.e. less expensive.

Somewhere between 1 mile and 1000 miles is a point where the cost of both becomes equal. This is called the break-even point. Mileage below the breakeven point makes