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2. Violet is baking cupcakes for a bakesale. The equation for her profit, p, based on the

number of cupcakes she sells, c, is based on the equation p = 2.75c-24. What is the best
nterpretation of the number -24.
A. How many cupcakes she sold.
B. How much it cost to buy the ingredients for the cupcakes.
C. How much each cupcake cost.
D. What her profit is.

1 Answer

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Answer: The best interpretation of the number -24 in the equation p = 2.75c-24 is option D: What her profit is.

The equation is in slope-intercept form, where the coefficient of c (2.75) represents the profit per cupcake and the constant term (-24) represents the fixed costs or expenses that Violet incurs regardless of how many cupcakes she sells.

In this case, the constant term of -24 represents the fixed costs such as the cost of ingredients, supplies, and other expenses that Violet incurs to make the cupcakes. This cost is subtracted from the total revenue generated by selling cupcakes to determine the profit. Therefore, the number -24 represents the fixed costs or expenses and its inclusion in the equation allows us to determine Violet's profit as a function of the number of cupcakes sold.

Explanation:

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