The Math Club plans to pay a visitor $280 to speak at a fundraiser. Tickets will be sold for $7 each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold. How many people must attend the event for the club to break even?

Equation:

Profit = Price of tickets*number of tickets - initial cost

Let t be the number of tickets

Let p be the profit

p = 7t-280

To Break Even:

In order for the club to break even, p must be equal to 0, and so the equation can be rewritten as:

0 = 7t-280

7t = 280

t = 280/7

t = 40 tickets