The relationship between time in months, t, and height in cm, h, can be represented by the equation h=4+2t for Plant A and h=8+t for Plant B.

Question

We just found that t, the time in months, is 4. That means the two plants are the same height after 4 months. When we graphed the equations, we saw that at 4 months, both plants had a height of 12 cm. Let’s confirm that with the equations. Start by substituting 4 for t in the equation for Plant A.
Height of Plant A: h=4+2t
h=4+2(
)

Answer 1

To find the height of Plant A after 4 months, we will substitute \( t = 4 \) into the equation \( h = 4 + 2t \).

Starting with the equation for Plant A:

\[ h = 4 + 2t \]

Substituting \( t = 4 \):

\[ h = 4 + 2(4) \]

Now, calculate the height:

\[ h = 4 + 8 \]

\[ h = 12 \]

So, after 4 months, the height of Plant A is 12 cm.

Now, let's confirm the height of Plant B as well:

Starting with the equation for Plant B:

\[ h = 8 + t \]

Substituting \( t = 4 \):

\[ h = 8 + 4 \]

Calculating this gives:

\[ h = 12 \]

Both plants are indeed the same height after 4 months, at 12 cm.