Gregory planted a lemon tree in hid back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing 3 inches every week. Create multiple representations (x to y table, graph and equation) to represent the relationship between the days that have passed and the height of the tree.

Guest Aug 18, 2014

#2**+5 **

Gregory planted a lemon tree in hid back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing 3 inches every week. Create multiple representations (x to y table, graph and equation) to represent the relationship between the days that have passed and the height of the tree.

I'd do this a bit different from Chris. The question refers to growth in inches and time in weeks. So they are the units I would use. Time along the bottom and height on the horizonal axis.

$$H=24+3T\\

\begin{tabular}{|c|c|c|c|c|c|} \hline

$Time\; in\; Week$&0&1&2&3&4\\\hline

$Height\; in\; Inches$ &24&27&&&\\\hline

\end{tabular}\\\\

\mbox{After one week the tree has grown 3 inches. }\\

\mbox{So it will be }24+3=27 \mbox{ inches high. etc}$$

Melody
Aug 18, 2014

#1**+5 **

The linear equation that models this is:

y = (3/7)x + 24 where y is the height of the tree on any given day in inches and x represents the number of days elapsed after day "0." Note that, on day "0," the tree is 24 inches tall = 2ft.

Here's the graph here:

P.S. - You can create a table on your own.....just plug a few values of x into the above equation and generate some different y values

CPhill
Aug 18, 2014

#2**+5 **

Best Answer

Gregory planted a lemon tree in hid back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing 3 inches every week. Create multiple representations (x to y table, graph and equation) to represent the relationship between the days that have passed and the height of the tree.

I'd do this a bit different from Chris. The question refers to growth in inches and time in weeks. So they are the units I would use. Time along the bottom and height on the horizonal axis.

$$H=24+3T\\

\begin{tabular}{|c|c|c|c|c|c|} \hline

$Time\; in\; Week$&0&1&2&3&4\\\hline

$Height\; in\; Inches$ &24&27&&&\\\hline

\end{tabular}\\\\

\mbox{After one week the tree has grown 3 inches. }\\

\mbox{So it will be }24+3=27 \mbox{ inches high. etc}$$

Melody
Aug 18, 2014