Answer:
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
equal the number of miles.
If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

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

Set the expressions equal to each other:

Subtract
from both sides of the equation:

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

Therefore, after 20 miles, the total cost for both companies will be the same.
_
Check your work by substituting the solved value of
(20), into the initial equation:



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