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advanced-mathA startup's user base is increasing by 12% every month. If the initial user base is , which function models the number of users after months?
A
B
C
D
Correct Answer: B
Choice B is the correct answer. Growth rate converts to growth factor .
- Identify Rate: The rate of increase is .
- Calculate Factor: For growth, .
- Form Equation: Substitute into to get .
💡 Strategic Tip: "Increasing by " always means multiplying by (as a decimal).
Choice A is incorrect because 0.12 would mean the population shrinks to 12% of its size each month. Choice C is incorrect because 12 would mean growing by 1100% (multiplying by 12). Choice D is incorrect because 0.88 represents a decrease of 12% ().