Set 10: Quadratic Equations (Advanced)

Explanation

Answer: A

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

3 hours

✓ Correct

6 hours

2 hours

1.5 hours

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Maximize the function. 1. $t = -6 / (2(-1)) = 3$ . 2. The drug is most effective at 3 hours. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 3 hours

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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