3
advanced-math

Which table shows exponential growth with a base of 4?

Table A:

xxyy
02
18
232

Table B:

xxyy
04
18
212
A

Table A

B

Table B

C

Both tables

D

Neither table

Correct Answer: A

Choice A is the correct answer. Check the growth factor for each table.

  1. Table A: Ratio 82=4\frac{8}{2} = 4 and 328=4\frac{32}{8} = 4 → Base is 4 ✓
  2. Table B: Difference is constant (84=48-4=4, 128=412-8=4) → Linear, not exponential.
  3. Equation for A: y=2(4)xy = 2(4)^x.

💡 Strategic Tip: Exponential = constant ratio. Linear = constant difference.

Choice B is incorrect because Table B is linear. Choice C is incorrect because only one table is exponential. Choice D is incorrect because Table A is exponential.