5

Set 11: Exponential Functions

Explanation

Answer: B

Which of the following equations has an initial value of 4 and a growth factor of 1.5?

A.

y=1.5(4)xy = 1.5(4)^x

B.

y=4(1.5)xy = 4(1.5)^x

✓ Correct
C.

y=4(0.5)xy = 4(0.5)^x

D.

y=4+1.5xy = 4 + 1.5x

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Match parameters to y=abxy=ab^x. 1. Initial Value: a=4a = 4. 2. Growth Factor: b=1.5b = 1.5. 3. Combine: y=4(1.5)xy = 4(1.5)^x. Strategic Tip: aa is outside, bb is inside the parenthesis. Choice A is incorrect because it swaps aa and bb. Choice C is incorrect because the factor is 0.5. Choice D is incorrect because it is linear.

Key Steps:

The correct answer is y=4(1.5)xy = 4(1.5)^x

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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