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## Sagot :

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

A **minimum** of 40 people must attend the event for the club to **breakeven** such that the cost of the speaker to speak is [tex]\$280[/tex] and the selling price of a ticket is [tex]\$7[/tex].

**Breakeven**

**Breakeven** is a point where the cost price and the selling price of the commodity are the same. In other words, the seller is neither is loss nor in profit.

We will first determine the breakeven point and equate it with the total amount received by selling the tickets to determine the minimum number of tickets to be sold to attain the **breakeven.**

**How to determine the breakeven point?**

Let the number of tickets sold be [tex]x[/tex].

According to the question,

The fundraiser will be in profit if, [tex]7x > 280[/tex]

The fundraiser will be in loss if, [tex]7x < 280[/tex]

Now, to determine the breakeven point-

[tex]7x=280\\x=\dfrac{280}{7}\\x=40[/tex]

Thus, a **minimum** of 40 people must attend the event for the club to **breakeven.**

Learn more about **breakeven** here- https://brainly.com/question/15172639

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