Question

Steve wants to start his own T-shirt business. His initial costs to get the business going are $1,500. It also costs on average $3 per shirt. Steve charges $10 for each shirt he sells. Which of the following systems is correct for this model to find the break-even point if x = the number of shirts sold and y = the number of dollars of expense or income?

a) y=10x+1500
b) y=3x+1500
c) y=10x
d) y=3x+1500

Answer 1

The correct system for this model to find the break-even point is y = 3x + 1500. This equation takes into account the initial costs and the cost per shirt, and it does not include the income generated from selling the shirts. To find the break-even point, set the expense or income equal to zero and solve for the number of shirts sold.

Step-by-step explanation:

The correct system for this model to find the break-even point is y = 3x + 1500.

In this equation, y represents the number of dollars of expense or income, and x represents the number of shirts sold. The equation y = 3x + 1500 takes into account the initial costs of $1500 and the cost of $3 per shirt. It does not include the income generated from selling the shirts.

To find the break-even point, set y equal to zero and solve for x. This will give you the number of shirts that need to be sold in order to cover all expenses.