1. the county fair charges $1.25 per ticket for the rides. jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. jermaine 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.

(a) The variables are y which represent total cost and x which represent the number of ride tickets.

(b) Linear equation = y = 1.25x + 12.50.

(c)  Total cost (y) is the sum of total amount spent on the ride tickets and price of fair admission. Therefore, if a person buy x number of  ride tickets having the price $ 1.25 per ride ticket, then the total amount spent by the person on x tickets is 1.25x.The Price of fair admission is 12.50 dollars which is same for everyone.

Step-by-step explanation:

Let the total cost be y and number of ride tickets be x.

Price of one ride ticket = $ 1.25

Total amount spent by Jermaine on 25 rides tickets = 25 × $ 1.25 = 31.25 $

Total amount spent at the fair By jermain= 43.75$

Total amount spent at the fair = Price of fair admission + cost of 25 ride tickets  

Price of fair admission = Total amount spent at the fair - cost of 25 ride tickets

Price of fair admission = 43.75$ - 31.25 $ = 12.50$

Now,

Price of one ride ticket = $ 1.25

Price of fair admission per person = 12.50$

So, linear equation that represent the total cost of a person who only pays for ride tickets and fair admission:

y = 1.25x + 12.50.

where y is the total cost, x is the number of tickets for rides bought by any person.