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advanced-mathIn the function , which describes the value of an investment over time, what does the number 1.08 represent?
A
The initial investment was $1.08.
B
The investment grows by $1.08 each year.
C
The investment grows by 8% each year.
D
The investment grows by 108% each year.
Correct Answer: C
Choice C is the correct answer. The base indicates the percentage growth rate.
- Analyze Base: The growth factor is .
- Find Rate: Since , we have , so .
- Convert to %: .
💡 Strategic Tip: To find the percentage rate from the factor , just look at the decimal part .
Choice A is incorrect because the initial investment is 2500. Choice B is incorrect because exponential growth is by a percentage, not a fixed dollar amount. Choice D is incorrect because 108% growth would mean .