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 10 months 14 months 16 months 28 months

Option 4 - 28 months.    

Step-by-step explanation:

Given : The height of a plant over time is shown in the table below.

To find : What is the best estimate for the age of the plant when it is 19 inches tall?

Solution :

We create the table of Plant Height

t, time in months -       1           2             3               4              5           6  

h, height in inches -   18      18.21          18.33       18.42      18.48      18.56          

Now, using logarithmic regression calculator,

We get the best line fit for the data

i.e,

Now, for the age of the plant when it is 19 inches tall i.e, y=19

Graphically we plot the equation and see the point at y=19

The point is (26.379,19)

Or approximately the age of the plant when it is 19 inches tall is 28 months.

Therefore, Option 4 is correct.

Refer the attached figure.  

Option D is correct

28 months

Step-by-step explanation:

The equation for logarithmic regression is given by:

Given the statement:

The height of a plant over time is shown in the table below.

here, h(t) represents the height of the plant after t time.

Using logarithmic regression calculator:

Graph the scatter plot for these given data from the table as shown below.

we get the required logarithmic model is:

We have to find the best estimate for the age of the plant when it is 19 inches tall.

⇒h(t) = 19 inches tall

Solve for t:

Subtract 17.997 from both sides we have;

Divide both sides by 0.3066 we have

⇒≈ 28 months

Therefore, the  best estimate for the age of the plant when it is 19 inches tall is, 28 months

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it