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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.

Respuesta :

indikanna
We will use the amount Jermaine used to determine the admission price, since that is not given to us. The total amount he paid is equal to the sum of the price of the tickets and the amdission price, a. We get the equation 43.75 = 1.25 * 25 + a a = $12.5 Now, if a person comes to the fair and pays for only the rides and admission, we can form an equation in x, the number of ride tickets, and y, the total cost incurred by that person. y = 1.25x + 12.5 Here, y is the total cost, 1.25 is the price per ticket, x is the number of tickets and 12.5 is the admission cost.

Hope this help. 

The price of fair admission cost comes out to be $12.50.

What is equation in two variables?

If an equation is stated in the form ax + by + c=0, with a, b, and c being real values and a and b, respectively, being coefficients of x and y, then the equation is said to be a linear equation in two variables.

Step by Step Explanation:

  • Step 1: Defining the variables

Let 'y' be the total cost spent by Jermaine in the fair.

Let 'x' be the total number of tickets bought by Jermaine.

Let 'a' be the fair admission price.

  • Step 2: Formation of linear equation.

The cost of the fair contains fair admission cost as well as ride ticket cost.

Thus,

Total cost  = fair admission cost + ride ticket cost

          = fair admission cost + (one ride ticket cost×number of ride tickets)

y = a + 1.25x is the linear equation .

  • Step 3: Explanation for the equation

The linear equation for the fair cost is y = a + 1.25x

Where, y is the total cost spent on the fair.

a is the admission cost and x is the total tickets purchased by Jermaine.

Therefore, total fair cost comprises of the admission cost along with the total cost spent on purchasing tickets.

To know more about linear and non linear equations, here

https://brainly.com/question/2030026

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