Problem 89 of 7
Explain why the average rate of change 2% per year over a decade may differ from instantaneous behavior in a city's population growth.
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reason over an interval rather than at one point.
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Context must involve changing behavior within interval.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Average rate uses only endpoints of an interval.
2. Instantaneous behavior can vary inside the interval.
3. Explain the difference in context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Interpreting average rate as necessarily constant throughout.