Noah is growing three different types of trees. He is keeping track of the height of each tree over time.

This equation represents the height (in feet) of the Tree #1 over m months: h=3.5m
The information is in the table is for Tree #2:

time (months) height of tree (feet)
2 5
4 10
5 12.5
8 20
This graph shows how long, in months, it takes Tree #3 to grow h feet.

A graph. Height, in feet. Time, in months.

Which tree is growing the slowest?

Question

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Respuesta :

raphealnwobi raphealnwobi · Answer 1 · 2020-12-07T09:20:39+01:00

Answer:

Tree 3

Step-by-step explanation:

The equation for the height of tree 1 is given as:

h = 3.5m

The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)

Hence:

[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\[/tex]

From the graph of tree 3, we get the points (2,4) and (4, 8)

Hence:

[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\[/tex]

Therefore tree 3 grows the slowest