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