Question

Darell parks his car in a parking garage. The garage charges a certain amount for the first hour and an hourly rate for each additional hour. The total charge for 3 hours is $10.65. The total charge for 6 hours is $15.30.
Complete the equation that describes the relationship between the total charge, C, and the length of time in hours, h.
c = __ h + __

Answer 1

Answer:

charges for the first hour = $7.55

charges for each additional hour = $1.55

c = 1.55h + 7.55

Step-by-step explanation:

Let

x = charges for the first hour

y = charges for each additional hour

x + 2y = 10.65 (1)

x + 5y = 15.30 (2)

Subtract (1) from (2)

5y - 2y = 15.30 - 10.65

3y = 4.65

y = 4.65/3

= 1.55

y = $1.55

Substitute y = 1.55 into

x + 2y = 10.65

x + 2(1.55) = 10.65

x + 3.10 = 10.65

x = 10.65 - 3.10

= 7.55

x = $7.55

c = 1.55h + 7.55