5
advanced-math

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

B

1500

C

700

D

2000

Correct Answer: A

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.

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Set 19: Quadratic Equations and Functions 19