7
advanced-math

Which equation represents a function that starts at 1 and grows by 100% each step?

A

y=1(100)xy = 1(100)^x

B

y=1(2)xy = 1(2)^x

C

y=1(1)xy = 1(1)^x

D

y=2(1)xy = 2(1)^x

Correct Answer: B

Choice B is the correct answer. 100% growth means doubling.

  1. Identify Rate: r=100%=1.0r = 100\% = 1.0.
  2. Calculate Factor: b=1+1.0=2b = 1 + 1.0 = 2.
  3. Equation: y=1(2)xy = 1(2)^x.

💡 Strategic Tip: Growing by 100% is the same as doubling (×2\times 2).

Choice A is incorrect because factor 100 means 9900% growth. Choice C is incorrect because factor 1 means 0% growth.

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