3
advanced-math

Which table can be modeled by y=3(4)xy = 3(4)^x?

Table P:

xxyy
03
112
248

Table Q:

xxyy
04
112
236
A

Table P

B

Table Q

C

Both tables

D

Neither table

Correct Answer: A

Choice A is the correct answer. Check if the data matches the equation.

  1. Table P: x=0x=0: 3(4)0=33(4)^0=3 ✓, x=1x=1: 3(4)1=123(4)^1=12 ✓, x=2x=2: 3(4)2=483(4)^2=48
  2. Table Q: x=0x=0: 3(4)0=3eq43(4)^0=3 eq 4
  3. Conclusion: Only Table P matches.

💡 Strategic Tip: Always check the initial value first (x=0x=0) to quickly eliminate wrong tables.

Choice B is incorrect because Table Q's initial value doesn't match. Choice C is incorrect because only one table matches. Choice D is incorrect because Table P matches.