Answered

A scientist is studying red maple tree growth in a state. She measured the trunk diameters of a sample of trees in the same month every other year. The tables below show the data for two of the trees.

Tree 1:
[tex]\[
\begin{array}{|r|c|}
\hline
\text{Year} & \text{Trunk Diameter (inches)} \\
\hline
1 & 18.6 \\
\hline
3 & 19.2 \\
\hline
5 & 19.8 \\
\hline
7 & 20.4 \\
\hline
9 & 21.0 \\
\hline
11 & 21.6 \\
\hline
13 & 22.2 \\
\hline
\end{array}
\][/tex]

Tree 2:
[tex]\[
\begin{array}{|r|c|}
\hline
\text{Year} & \text{Trunk Diameter (inches)} \\
\hline
1 & 11.4 \\
\hline
3 & 12.0 \\
\hline
5 & 12.6 \\
\hline
7 & 13.2 \\
\hline
9 & 13.8 \\
\hline
11 & 14.4 \\
\hline
13 & 15.0 \\
\hline
\end{array}
\][/tex]

The scientist plots the data for Tree 2 on a coordinate grid. She begins by plotting data for year 3 and year 11.

What are the locations of the two points on the coordinate grid?

Click on the grid to plot the points. (Note: To remove a point, place the arrow over the point and click the left mouse button.)



Answer :

GinnyAnswer
To determine the locations of the two points that the scientist needs to plot on the coordinate grid for tree 2, we must look at the trunk diameters of the tree at years 3 and 11.

Using the given data:

- Year 3: The trunk diameter of tree 2 is 12.0 inches.
- Year 11: The trunk diameter of tree 2 is 14.4 inches.

Each data point on the coordinate grid will have the year as the x-coordinate and the trunk diameter as the y-coordinate.

So, the two points to be plotted on the grid for tree 2 are:
- At year 3, the point is [tex]\((3, 12.0)\)[/tex].
- At year 11, the point is [tex]\((11, 14.4)\)[/tex].

These points represent the measured trunk diameters at the specified years. Therefore, the coordinates of the two points to be plotted on the grid are [tex]\((3, 12.0)\)[/tex] and [tex]\((11, 14.4)\)[/tex].