Answer: The y-intercept of $15,000 in the equation represents the initial cost Carly paid for the printing machine and other fixed costs associated with her sweatshirt company. It is the cost incurred before any sweatshirts are produced.
Step-by-step explanation:
In the given equation, c = 15,000 + 7t, the y-intercept represents the value of the dependent variable (c) when the independent variable (t) is equal to zero.
1. In this context, the y-intercept is 15,000. This means that when no sweatshirts (t=0) have been produced, the total cost (c) is $15,000.
2. The y-intercept is often referred to as the initial cost or fixed cost because it represents the cost that Carly had to pay for the printing machine, regardless of how many sweatshirts are produced.
3. This fixed cost of $15,000 includes the purchase of the printing machine and any other initial expenses that Carly had to incur to start her business.
4. As the number of sweatshirts produced (t) increases, the total cost (c) will also increase due to the additional cost of $7 per sweatshirt.
In summary, the y-intercept of $15,000 in the equation represents the initial cost Carly paid for the printing machine and other fixed costs associated with her sweatshirt company. It is the cost incurred before any sweatshirts are produced.
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