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24 July, 00:32

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?

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  1. 24 July, 00:45
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    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
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