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Ashley is paid $300 each week plus commission on her total sales. If she sells less than $200, she receives $5 commission; if she sells more than $200, she receives $8 commission. Which function can be used to find her total pay?

A. 300 + 0.05s if s < 200
B. 300 + 0.08s if s > 200
C. 300 + 0.05s if s < 200
D. 300 + 0.08s if s > 200

1 Answer

4 votes

Final answer:

None of the options provided (A, B, C, D) in the question accurately reflect Ashley's total pay based on the commission structure described. Assuming a typo, the correct piecewise function would be 300 + 5 when sales are less than $200 and 300 + 8 when sales are more than $200, representing fixed amounts and not percentages.

Step-by-step explanation:

The question asks which function can be used to find Ashley's total pay, including her weekly salary and commission based on her sales. To find Ashley's total pay, we must select the correct piecewise function that represents her weekly income of $300 plus the commission she makes on her sales. The correct function would depend on whether the sales s are less than $200 or more than $200.

If Ashley sells less than $200, she receives a $5 commission. Since the question specifies commission as a fixed amount rather than a percentage, the correct function for this part is 300 + 5 when s < 200. On the other hand, if Ashley sells more than $200, she receives $8 commission. Therefore, the correct function for this part is 300 + 8 when s > 200.

Given that neither option A nor B are fully correct as they present percentages rather than fixed amounts, and that options C and D are incomplete, the question seems to have a typo. Assuming the question should have read "5 dollars commission" and "8 dollars commission," the best representation of the options given would be:

  • 300 + 5 if s < 200
  • 300 + 8 if s > 200

However, without knowing the full set of options provided in the question, we should inform the student that none of the given answer choices (A, B, C, D) perfectly reflects the correct piecewise function.

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