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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.

math
Guest Aug 18, 2014

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 #2
avatar+91051 
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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
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 #1
avatar+78755 
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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
avatar+91051 
+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

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