Question

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.

Answer 1

Answer:

(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.