Problem 62 of 7
Explain why the exponential growth pattern increases by 25% each year eventually exceeds the fixed-rate pattern adds 100 each year.
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compare additive versus multiplicative change.
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Comparison must involve exponential growth and fixed-rate linear growth.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Describe the linear pattern as adding the same amount each step.
2. Describe the exponential pattern as multiplying each step.
3. Explain that repeated multiplication eventually produces larger increases.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying exponential always starts larger.