Question

At Rocking Horse Ranch, admission is $45 and trail rides are $22.50 per hour. At Saddlecreek Ranch, admission is $30, and trail rides are $35 per hour.

Write a system of equations that shows the total cost c for a trail ride that lasts h hours at each ranch.
A. c = 45h + 22.50, c = 30h + 35
B. c = 35h + 22.50, c = 20h + 45
C. c = 22.50h + 45, c = 35h + 30
D. c = 30h + 45, c = 35h + 22.50

Answer 1

The correct system of equations for the total cost of trail rides at Rocking Horse Ranch and Saddlecreek Ranch is C. c = 22.50h + 45 for Rocking Horse Ranch and c = 35h + 30 for Saddlecreek Ranch.

Step-by-step explanation:

To determine the total cost of a trail ride that lasts h hours at each ranch, we need to write a system of equations where c represents the total cost of the trail ride and h represents the number of hours the trail ride lasts.

For Rocking Horse Ranch, the admission is a fixed cost of $45 plus $22.50 per hour of trail ride. The equation for this ranch is:
c = 22.50h + 45.

For Saddlecreek Ranch, the admission is a slightly lower fixed cost of $30 plus $35 per hour for the trail ride. The equation for this ranch is:
c = 35h + 30.

Therefore, the correct system of equations that represents the total cost c for h hours of trail ride at each ranch is:
C. c = 22.50h + 45, c = 35h + 30.