Question

Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?

Answer 1

20 miles

Explanation:

160=$3(20)=100

8x20=160

Answer 2

20 miles.

Explanation:

To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.

Let
`m` equal the number of miles.

If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

`100+3m`

If Hertz Rental charges $8 per mile, we can represent this as:

`8m`

Set the expressions equal to each other:

`8m=100+3m`

Subtract
`3m` from both sides of the equation:

`5m=100`

Divide both sides of the equation by the coefficient of
`m`, which is
`5`:

`m=20`

Therefore, after 20 miles, the total cost for both companies will be the same.

_

Check your work by substituting the solved value of
`m` (20), into the initial equation:

`8(20)=100+3(20)`

`160=100+60`

`160=160`

As the total costs are equal to each other, our answer is correct!