7
advanced-math

The effectiveness of a drug E(t)E(t) at time tt is E(t)=−t2+6tE(t) = -t^2 + 6t. When is the drug most effective?

A

3 hours

B

6 hours

C

2 hours

D

1.5 hours

Correct Answer: A

Choice A is the correct answer. Maximize the function.

  1. t=−6/(2(−1))=3t = -6 / (2(-1)) = 3.
  2. The drug is most effective at 3 hours.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 19: Quadratic Equations and Functions 19