Question

A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of a number of hours parked, what is the cost to park for 3 hours?

Answer 1

y = $4.75

Explanation:

Answer 2

The cost per hour of parking is the gradient of the line and can be determined by:
(7.75 - 5.50) / (7 - 4)
= $0.75 per hour parking
5.50 = 0.75 x 4 + c
c = $2.50
The equation is:
y = 0.75x + 2.5
The cost for three hours (x = 3) is:
y = 0.75(3) + 2.5
y = $4.75