5

Set 7: Quadratic Equations (Intermediate)

Explanation

Answer: A

If a population grows according to P(t)=2t2+100t+500P(t) = 2t^2 + 100t + 500, what is the population at t=10t=10?

A.

1700

✓ Correct
B.

1500

C.

700

D.

2000

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitute t=10t=10. 1. P(10)=2(10)2+100(10)+500P(10) = 2(10)^2 + 100(10) + 500. 2. P(10)=2(100)+1000+500P(10) = 2(100) + 1000 + 500. 3. P(10)=200+1000+500=1700P(10) = 200 + 1000 + 500 = 1700. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 1700

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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