To write a system of equations that shows the total cost (c) for a trail ride that lasts (h) hours at each ranch, we can use the given information about the admission and trail ride costs at Rocking Horse Ranch and Saddle Creek Ranch.
Let's denote the total cost of the trail ride at Rocking Horse Ranch as C₁ and the total cost of the trail ride at Saddle Creek Ranch as C₂.
For Rocking Horse Ranch:
The admission cost is $45, and the trail ride cost is $22.50 per hour. So, the total cost C₁ for a trail ride lasting h hours can be expressed as:
C₁ = 45 + (22.50 * h)
For Saddle Creek Ranch:
The admission cost is $30, and the trail ride cost is $35 per hour. So, the total cost C₂ for a trail ride lasting h hours can be expressed as:
C₂ = 30 + (35 * h)
Therefore, the system of equations that shows the total cost (c) for a trail ride that lasts (h) hours at each ranch is:
C₁ = 45 + (22.50 * h)
C₂ = 30 + (35 * h)
If you have any further questions, feel free to ask!
