Problem 64 of 7
Explain why exponential model E(n)=4^n eventually exceeds polynomial model P(n)=50n^2.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare repeated multiplication to power growth.
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Explanation must compare repeated multiplication to fixed-power or constant-difference growth.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the exponential repeated multiplier.
2. Identify the polynomial fixed-power structure.
3. Explain that repeated multiplication eventually dominates fixed-power growth.
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.