Question

In order to join a dancing club there is a $24 monthly fee. It cost $10 per person to operate. Write an equation that models the prophet in the situation and make a graph. How many people miss join if they want to make $5000?

Answer 1

To model the profit in a dancing club, we can write an equation Profit = 14x, where x represents the number of people joining the club. By solving the equation, we can determine how many people need to join to make a certain amount of profit.

Step-by-step explanation:

Equation for the profit

To model the profit in this situation, we need to consider the monthly fee and operating cost. Let's assume the number of people joining the dancing club is x. The equation for the profit can be expressed as:

Profit = Monthly Fee - Operating Cost

Profit = 24x - 10x

Profit = 14x

Graph

To graph the equation, we can plot the profit (y-axis) against the number of people (x-axis) on a coordinate plane. The slope of the line will be 14, indicating that the profit increases by $14 for each person who joins the club.

Number of People (x) Profit (y)

0 0

1 14

2 28

3 42

...

To find out how many people need to join in order to make $5000, we can solve the equation:

Profit = 14x

5000 = 14x

x = 5000/14

x ≈ 357.14

Therefore, approximately 357 people would need to join the dancing club to make $5000.