A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200200200 tickets, they had a net profit of \$12{,}000$12,000dollar sign, 12, comma, 000. They had to sell a few tickets just to cover necessary production costs of \$1{,}200$1,200dollar sign, 1, comma, 200. Let yyy represent the net profit (in dollars) when they have sold xxx tickets. Complete the equation for the relationship between the net profit and number of tickets sold.
Answers
Given : A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200200200 tickets, they had a net profit of $12,000 . $1,200dollar just to cover necessary production costs
To find : equation for the relationship between the net profit and number of tickets sold.
Solution:
y = net profit
x = Number of ticket sold
Profit on one ticket = P
Profit on 200 tickets = 200P - 1200
12000 = 200P - 1200
=> 13200 = 200P
=> 66 = P
y = 66x - 1200
is the relationship between the net profit and number of tickets sold.
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