1
advanced-mathConsider the exponential function . What is the initial value of this function?
A
1.04
B
150
C
4
D
156
Correct Answer: B
Choice B is the correct answer. The initial value corresponds to in the standard form .
- Identify: The standard form of an exponential function is , where is the initial value (y-intercept) and is the growth/decay factor.
- Compare: In the given equation , the coefficient is 150.
- Conclude: Therefore, the initial value is 150.
💡 Strategic Tip: The initial value is always the number multiplying the power term. It represents the starting amount when .
Choice A is incorrect because 1.04 is the growth factor , not the initial value. Choice C is incorrect because 4 represents the percentage growth rate (4%), not the initial value. Choice D is incorrect because 156 is the value when (), not the initial value.