MATHEMATICS HIGH SCHOOL

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?

Answers

Answer 1
Answer:

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

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 x.

According to the question,

The fundraiser will be in profit if, 7x > 280

The fundraiser will be in loss if, 7x < 280

Now, to determine the breakeven point-

7x=280\nx=(280)/(7)\nx=40

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

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

#SPJ2
Answer 2
Answer: 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

Related Questions

What is the complement of the angle 178 degrees and 100 degrees
Select the items from the following list that are included in financial literacy.
Help asap. question screenshot attached
Ana bought a van that holds 20.75 gallons of gas and gets an average of 15.5 miles per gallon. How many miles can she expect to drive on a full tank of gas? *
9,277,414 The 7 in the thousands place is _____ the value of the 7 in the ten thousands place A. 10x B. 100x C. 1/10 D.1/100 E. 1/1000

Perdita goes to the fruit market with $9 to buy avocadoes. Each avocado costs $2. Write and solve an inequality to find the greatest number of avocadoes Perdita can buy

Answers

let x= number of avocadoes she can buy
let y= total cost

y= 2x 

9= 2x     9/2= 4.5
4.5= x
(you cannot cut the avocado in half therefore your answer is simply 4)

Elliott's bed is 75 inches long. During his growth spurt, Elliott grew 6 inches. Before his growth spurt, he was 5 feet 11 inches tall. How much shorter is Elliott's bed than Elliott?inches

Answers

Elliott's bed -> 75 in
Elliott before -> 5 ft 11 in = 71 in
Elliott after -> 71 + 6 = 77 in

77 - 75 = 2 in

Elliott's bed is shorter than him by 2 inches.

Two ships leave whittier, Ak at 7 AM. The first ship sails towards Valdez on a 54° course at a constant rate of 36 mi/h. The second ship sails towards Knight island on a 144° course at a constant speed of 42 mi/h. Find the distance between the ships at 11 AM.

Answers