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.
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(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
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(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.
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(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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