a charity organization had a fundraiser where they sold each ticket for a fixed price. after selling 200…

a charity organization had a fundraiser where they sold each ticket for a fixed price. after selling 200 tickets, they had a net profit of $12,000. they had to sell a few tickets just to cover necessary production costs of $1,200. let y represent the net profit (in dollars) when they have sold x tickets. complete the equation for the relationship between the net profit and number of tickets sold. y =

a charity organization had a fundraiser where they sold each ticket for a fixed price. after selling 200 tickets, they had a net profit of $12,000. they had to sell a few tickets just to cover necessary production costs of $1,200. let y represent the net profit (in dollars) when they have sold x tickets. complete the equation for the relationship between the net profit and number of tickets sold. y =

Answer

Explanation:

Step1: Find the revenue from selling 200 tickets

Let the price of each ticket be $p$. Revenue from selling 200 tickets is $200p$. We know that after selling 200 tickets, net - profit $y = 12000$ and production cost $C = 1200$. So, $200p-1200 = 12000$. Solving for $p$, we get $200p=12000 + 1200=13200$, then $p=\frac{13200}{200}=66$.

Step2: Form the profit - ticket number equation

The net profit $y$ when $x$ tickets are sold is given by the formula: Net profit=Revenue - Cost. The revenue from selling $x$ tickets is $66x$ and the cost is $1200$. So the equation is $y = 66x-1200$.

Answer:

$y = 66x-1200$