3

Set 2: Exponential Functions (Advanced)

Explanation

Answer: B

If a population doubles every hour, what is the growth factor?

A.

1

B.

2

✓ Correct
C.

0.5

D.

100

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Doubling implies multiplying by 2. 1. Analyze: "Doubles" means the new value is 2 times the old value. 2. Identify Factor: The multiplier bb is 2. 3. Equation: y=a(2)xy = a(2)^x. Strategic Tip: "Doubles" b=2\to b=2. "Triples" b=3\to b=3. "Quadruples" b=4\to b=4. Choice A is incorrect because factor 1 means no change. Choice C is incorrect because 0.5 means halving. Choice D is incorrect because 100 might be confused with 100% growth (which is doubling), but the factor is 1+1=21 +1=2.

Key Steps:

The correct answer is 2

Why others are wrong:
A: Choice A 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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