Answer:
(a) x represents the number of ride tickets, y represents the total cost, and c represents the cost for admission
(b) y = 1.25x + 9.5
(c) The above shows that for whatever number of ride tickets x, we can find the total cost y.
Step-by-step explanation:
Given that the county charges $1.25 per ticket, let x represent the number of ride tickets, y represent the total cost, and c represents the cost for admission. Then we have:
y = 1.25x + c
Let us find c when x = 17 and y = 30.75
30.75 = 1.25(17) + c
c = 30.75 - 1.25(17) = 9.5
The linear equation is:
y = 1.25x + 9.5
The above shows that for whatever number of ride tickets x, we can find the total cost y.