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1-39.

Gregory planted a lemon tree in his back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing 3 inches every week. 1-39 HW eTool (Desmos) Homework Help ✎

1. Create multiple representations (xy table, graph, and equation) to represent the relationship between the days that have passed and the height of the tree.

Remember, there are 12 inches in a foot.

Start with a table. How tall is the tree at Week 0, when it was planted? Use what you know about how it grows to generate the rest of the table.

$\left. \begin{array} { c | c } { x } & { y } \\ \hline 0 & { 24 } \\ { 1 } & { 27 } \\ { 2 } & { 30 } \\ { 3 } & { 33 } \\ { 4 } & { 36 } \\ { 5 } & { 39 } \end{array} \right.$

$y=3x+24$

2. If the tree continues growing at this rate, when will it be 6 feet tall? How can you see this in each of the representations?

How many inches are there in 6 feet?

Where do you see that on the table? On the graph? Describe it.

Substitute 72 for y in the equation and solve for x.

16 weeks

3. State the possible inputs and outputs of the graph.

Possible inputs: all number greater than and including 0
Possible outputs: all numbers greater than and including 24

Use the blank graph in the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: CCA2 1-39 HW eTool