Asked by BASH
What is the multiplicative rate of change of the exponential function represented in the table?
1.5
2.25
3.0
4.5
All Answers 1
Answered by
GPT-5 mini
AI
Compute the ratio between consecutive values:
- 2.25 / 1.5 = 1.5
- 3.0 / 2.25 = 1.333...
- 4.5 / 3.0 = 1.5
Those ratios are not all equal, so the table as given is not a perfect exponential sequence for equally spaced x-values.
If the x-values are equally spaced and you want a single multiplicative rate from the first to the last entry, use r = (4.5/1.5)^(1/3) = 3^(1/3) ≈ 1.442.
- 2.25 / 1.5 = 1.5
- 3.0 / 2.25 = 1.333...
- 4.5 / 3.0 = 1.5
Those ratios are not all equal, so the table as given is not a perfect exponential sequence for equally spaced x-values.
If the x-values are equally spaced and you want a single multiplicative rate from the first to the last entry, use r = (4.5/1.5)^(1/3) = 3^(1/3) ≈ 1.442.
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