5
advanced-math

Which table shows data that can be modeled by an exponential function?

Table X:

ttPP
0100
1150
2225

Table Y:

ttQQ
0100
1150
2200
A

Table X only

B

Table Y only

C

Both tables

D

Neither table

Correct Answer: A

Choice A is the correct answer. Check for constant ratios.

  1. Table X: Ratios 150100=1.5\frac{150}{100} = 1.5 and 225150=1.5\frac{225}{150} = 1.5 (constant) → Exponential ✓
  2. Table Y: Differences 150100=50150-100=50 and 200150=50200-150=50 (constant) → Linear ✗
  3. Conclusion: Only Table X is exponential.

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

Choice B is incorrect because Table Y is linear. Choice C is incorrect because only one is exponential. Choice D is incorrect because Table X is exponential.