Final answer:
To write an equation that models the profit in this situation, we can use the total monthly revenue of $15x and the total cost of operation of $2x. The equation that represents the profit is 'Profit = 15x - 2x = 13x'. To find out how many people must join to make $25,000 profit, we solve the equation '13x = 25000' and find that x ≈ 1924. Therefore, approximately 1924 people must join to make a profit of $25,000.
Step-by-step explanation:
To write an equation that models the profit in this situation, we need to consider the monthly fee and the cost of operation as the expenses, and the number of people joining as the variable. Let's call the number of people joining 'x'.
The monthly fee for each person is $15, so the total monthly revenue is given by the equation '15x'. The cost to operate is $2 per person, so the total cost of operation is '2x'.
To find the profit, we subtract the total cost of operation from the total revenue. So the equation that models the profit in this situation is 'Profit = 15x - 2x = 13x'. This equation represents the profit in terms of the number of people joining.
To graph the equation, we plot the number of people joining (x) on the x-axis and the profit on the y-axis. We can plot a few points and draw a line connecting them.
To find out how many people must join in order to make $25,000 profit, we substitute '25000' for 'Profit' in our equation and solve for 'x':
13x = 25000
x = 25000/13
x ≈ 1924
Therefore, approximately 1924 people must join the online learning community to make a profit of $25,000.