High School

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Martha opens a new cell phone store: She spends $24,500 purchasing inventory to sell; buying furniture, and advertising the business. The table shows how Martha calculates various costs and profits in her business. Cell Phone Store Profits/Costs -> Equation Used to Calculate raw profits -> p = 12.5c 24,500 where p represents profit, and Raiy profits represents the number of cell phones sold Retail price for a cell phone -> r = 1.75w where r represents retail price and w represents the labor cost Sales commissions -> s = 55.95c where s represents sale commissions and c represents the number of cell phones sold Wages -> w = 10.25h where w represents wages and h represents hours worked Which equation represents a non-proportional function? A. p = 12. 5c – 24,500 B. r = 1. 75w C. s = 55. 95c D. w = 10. 25h

Answer :

Final answer:

Among the provided equations, A, p = 12.5c - 24,500, is non-proportional because it includes a subtraction of 24,500, and therefore does not start at the origin. Other equations (B, C, and D) are proportional as they only involve multiplication of two variables.

Explanation:

In the context of this question, a non-proportional function is one that does not pass through the origin, meaning it does not start at zero but at some other value. When we look at each equation, we see that equations B, C, and D are proportional because they solely consist of the multiplication of two variables without any addition or subtraction. On the other hand, equation A, p = 12.5c - 24,500, is non-proportional because it includes a subtraction of 24,500, meaning it does not pass through the origin, but starts at -24,500. Thus, the equation that represents a non-proportional function is A, p = 12.5c - 24,500.

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