Question

A charity organization is having a fundraiser. P represents the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P=70n-1500. What are the expenses of the fundraiser?

Answer 1

The equation given for the fundraiser's profit is:

P = 70n - 1500

If the profit P is negative, then the expenses of the fundraiser exceeded the income from tickets.

Setting P equal to zero and solving for n gives us the breakeven point, which is the number of tickets that must be sold to cover the expenses:

0 = 70n - 1500
70n = 1500
n = 21.43

Since we can't sell a fractional number of tickets, we will round up to the nearest whole number, which gives us:

n = 22

Therefore, if the organization sells 22 tickets, the profit will be zero, and the expenses will be equal to the revenue generated by the ticket sales:

P = 70n - 1500
P = 70(22) - 1500
P = 1540 - 1500
P = 40

So the expenses of the fundraiser would be $40 if they sell 22 tickets.