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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 ev

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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
Aug 18, 2014

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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.

$$H=24+3T\\ \begin{tabular}{|c|c|c|c|c|c|} \hline Time\; in\; Week&0&1&2&3&4\\\hline Height\; in\; Inches &24&27&&&\\\hline \end{tabular}\\\\ \mbox{After one week the tree has grown 3 inches. }\\ \mbox{So it will be }24+3=27 \mbox{ inches high. etc}$$ Aug 18, 2014

#1
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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   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