The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? Plant Height t, time in months h, height in inches 1 18 2 18.21 3 18.33 4 18.42 5 18.48 6 18.54

Question

Mathematics

Jaslyn Beck

16 August, 16:30

The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall? Plant Height t, time in months h, height in inches 1 18 2 18.21 3 18.33 4 18.42 5 18.48 6 18.54

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Answers (2)

Know the Answer?

Royce Mercer · Answer 1

0.5x+3 0.5x+3

This expression says that per x month (s), the plants growth rate is 0.5 inches on average, added to 3 inches from the plant's current height.

Carly Finley · Answer 2

The answer is C, or 28.

You can plug the values into a regression calculator to find the equation. When you do this, you will get the equation y=18.001+0.3ln (x). When you substitue 19 in for y, you get that x is about 28.