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) write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission. (b) explain your answer to part 1a.

Step-by-step explanation:

The county fair charges $1.25 per ticket (which is used for rides). Jermaine bought a total of 25 tickets.

Multiply 1.25 with 25

1.25 x 25 = 31.25

Now subtract the number gotten from the total spent.

43.75 - 31.25 = 12.50

=> The admission fee is $12.50.

(a) y = mx + b

b = admission fee = $12.50

m = Cost per ride = $1.25

y = total spent = $43.75

x = number of ride tickets

Plug in the corresponding numbers to the corresponding variable

The linear equation is (for anyone, not just Jermaine) is: y = 1.25x + 12.50

(b)

1) As stated above, the cost for admission (which replaces the b, as it is a one-time payment) is $12.50

2) For every ride Jermaine goes on, it will cost him $1.25 (or a ticket).

3) Jeremy has a limited amount of money, or $43.75, so he cannot exceed that number. He also spends that exact amount.

(Example: Jeremy)

y = mx + b

b = admission fee = $12.50

m = Cost per ride = $1.25

y = total spent (with $43.75 as the limit)

x = amount of rides that Jermaine can ride in.

43.75 = 1.25(x) + 12.50

Solve for x. Isolate the x. Do the opposite of PEMDAS. First, subtract 12.50 from both sides

43.75 (-12.50) = 1.25x + 12.50 (-12.50)

1.25x = 43.75 - 12.50

1.25x = 31.25

Divide 1.25 from both sides

(1.25x)/1.25 = (31.25)/1.25

x = 31.25/1.25

x = 25

Jermaine can ride in 25 rides.

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