4

Set 7: Exponential Functions (Intermediate)

Explanation

Answer: C

An account earns 0.5% interest per month. What is the monthly growth factor?

A.

1.5

B.

1.05

C.

1.005

✓ Correct
D.

0.005

Detailed Explanation

Choice C is correct. Choice C is the correct answer. Convert small percentage to decimal carefully. 1. Identify Rate: r=0.5%=0.005r = 0.5\% = 0.005. 2. Calculate Factor: b=1+r=1+0.005=1.005b = 1 + r = 1 + 0.005 = 1.005. Strategic Tip: Move the decimal point two places left for percentage. 0.50.0050.5\to 0.005. Choice A is incorrect because it represents 50%. Choice B is incorrect because it represents 5%.

Key Steps:

The correct answer is 1.005

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