1

Set 8: Exponential Functions (Intermediate)

Explanation

Answer: C

A city's population increases by 2.5% per year. What is the growth factor?

A.

2.5

B.

0.025

C.

1.025

✓ Correct
D.

1.25

Detailed Explanation

Choice C is correct. Choice C is the correct answer. Convert percentage to factor. 1. Identify Rate: r=2.5%=0.025r = 2.5\% = 0.025. 2. Calculate Factor: b=1+r=1+0.025=1.025b = 1 + r = 1 + 0.025 = 1.025. Strategic Tip: Be careful with decimals. 2.5% is 0.025, not 0.25. Choice A is incorrect because it uses the percentage number directly. Choice B is incorrect because it is just the rate, not the factor. Choice D is incorrect because 1.25 represents 25% growth.

Key Steps:

•

The correct answer is 1.025

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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