4
advanced-math

If y=5(1.06)ty = 5(1.06)^t, what is the percentage rate of change?

A

Increase of 6%

B

Increase of 106%

C

Decrease of 6%

D

Increase of 0.06%

Correct Answer: A

Choice A is the correct answer. Extract the rate from the growth factor.

  1. Identify Factor: b=1.06b = 1.06.
  2. Compare to 1: 1.06=1+0.061.06 = 1 + 0.06.
  3. Convert: 0.06=6%0.06 = 6\%.

💡 Strategic Tip: The decimal part after the 1 is your percentage growth.

Choice B is incorrect because 106% growth would mean b=2.06b=2.06. Choice C is incorrect becauseb>1b > 1 implies growth, not decay. Choice D is incorrect because 0.06% would be b=1.0006b=1.0006.