Question

1.The county fair charges $1.25 per ticket for the rides. Spencer bought 17 tickets for the rides and spent a total of $30.75 at the fair. Spencer spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.(a)Define your variables.(b)Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.(c)Explain your answer to Part 1b.

Answer 1

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.

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.