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 ?

20 miles.

Step-by-step 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.

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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!