8
advanced-math

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

C

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

D

y=4+1.5xy = 4 + 1.5x

Correct Answer: B

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.