Asked by julie
he final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
It is linear because the function is continuous.
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
It is nonlinear because the price tag and final cost columns do not have the same common difference.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: The first option.
Reason: Final cost = 0.75 × (price on tag) is f(p) = 0.75p, a linear (proportional) function of the price. Multiplying by a constant gives a constant rate of change (slope = 0.75). The other choices are incorrect: continuity alone doesn't guarantee linearity, and multiplying by 0.75 produces a linear—not nonlinear—relationship.
Reason: Final cost = 0.75 × (price on tag) is f(p) = 0.75p, a linear (proportional) function of the price. Multiplying by a constant gives a constant rate of change (slope = 0.75). The other choices are incorrect: continuity alone doesn't guarantee linearity, and multiplying by 0.75 produces a linear—not nonlinear—relationship.
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