Problem 105 of 7
Compare exponential decay model P(x)=750(0.9)^x with linear or polynomial decrease model Q(x)=750-3x^2.
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Hidden until you reveal it.
interpret approach toward asymptote versus crossing below zero.
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Comparison must distinguish multiplicative decay from subtractive or polynomial decrease.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify the exponential decay factor.
2. Identify whether the other model subtracts a fixed or polynomial amount.
3. Compare long-term behavior and whether outputs can become negative.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying exponential decay subtracts the same amount each interval.