Question

12.) Rachel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 to park plus $0.50 per hour.

Garage B charges a flat fee of $2 to park plus $1 per hour. Write an equation then find after how many hours will the
cost at garage A and garage B be the same? What will that cost be? (4 points total)

Answer 1

The equation: 6 + 0.5x = 2 + 1x

How many hours till the cost is the same: 8 hours

What will the cost be: $10

Explanation:

6 + 0.5x = 2 + 1x

subtract 0.5x from both sides

6 = 2 + 0.5x

subtract 2 from both sides

4 = 0.5x

divide both sides by 0.5

x = 8

Lets check our work:

Garage A:

6 + 0.5(8)

6 + 4 = 10

Garage B:

2 + 1(8)

2 + 8 = 10

After 8 hours the price for both garages will be equal at $10