5
advanced-math

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

A

2.5

B

0.025

C

1.025

D

1.25

Correct Answer: C

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.

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Set 23: Exponential Functions 23