Let number of ride tickets = x tickets and
Total cost of fair admission and ride = $y.
Given cost of each ticket = $1.25 and
Number of tickets = 25 tickets.
Total Cost of 25 ticket = Number of tickets * cost of each ticket = 25 * 1.25 = $31.25.
Total money spent = $43.75.
Total money spent = Fair admission + Total Cost of 25 ticket
43.75 = Fair addmission + 31.35.
Subtracting 31.25 from both sides, we get
43.75-31.35 = y - 31.35 - 31.35.
12.50 = Fair addmission charge
Therefore, Fair addmission charge = $12.50.
We know slope, intercept form
y = mx+b.
Where, is m the slope (cost of each ticket) and b is the y-intercept( Fair addmission charge)
Plugging values in slope-intercept form, we get
y = 1.25 x+ 12.50.
a) We took x for number of tickets for the rides, and y for total cost of ride tickets and fair admission.
b) We got equation y = 1.25 x+ 12.50.
c) For the equation y = 1.25 x+ 12.50, fix charge for fair admission is $12.50 and cost of each ride ticket is $1.25. Total cost (y) of ride tickets and fair admission will be 1.25 times x number of tickets + $12.50 fair admission charges.
. An integrating factor would
to get
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