Answer:
(a) The variables include y, representing total cost, and x, indicating the quantity of ride tickets.
(b) The linear equation is expressed as y = 1.25x + 12.50.
(c) The calculation of total cost (represented as y) is the sum of the expense on ride tickets plus the fair admission price. If someone purchases x ride tickets, priced at $1.25 each, their total expenditure on these tickets amounts to 1.25x. The fair admission fee is fixed at 12.50 dollars for all.
Step-by-step explanation:
Let y denote the total cost, while x denotes the number of ride tickets purchased.
The cost of a single ride ticket equals$ 1.25.
Jermaine's total cost for 25 ride tickets is calculated as 25 × $ 1.25 = 31.25$
Jermaine's total expenses at the fair amount to 43.75$.
Thus, the total monetary outlay at the fair = (price of fair admission + cost of 25 ride tickets)
Calculating the price of fair admission: Total fair expenses - cost of 25 ride tickets.
Price of fair admission = 43.75$ - 31.25$ = 12.50$
Now,
Cost of each ride ticket = $ 1.25
Admission price per patron = 12.50$
Therefore, the linear equation representing the total cost for anyone paying solely for ride tickets and fair admission is:
y = 1.25x + 12.50.
Here, y signifies the total expenditure, while x denotes the number of ride tickets acquired.
