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advanced-mathAn investment triples every 5 years. Which equation models the value after years if starting with $2,000?
A
B
C
D
Correct Answer: A
Choice A is the correct answer. Model the tripling pattern.
- Growth Factor: Triples means multiply by 3.
- Time Period: Every 5 years, so number of periods = .
- Equation: .
- Verify: At , (tripled) ✓
💡 Strategic Tip: Exponent = .
Choice B is incorrect because grows much too fast. Choice C is incorrect because this is linear, not exponential. Choice D is incorrect because this triples every year, not every 5 years.