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.

Question

Height of Plant A: h=4+2t
h=4+2(
)

Answer 1

To confirm the height of Plant A after 4 months using the given equation, we will substitute \( t = 4 \) into the equation for Plant A:

The equation for the height of Plant A is:

\[ h = 4 + 2t \]

Now, substituting \( t = 4 \):

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

Calculating that gives:

\[ h = 4 + 8 \] \[ h = 12 \]

Therefore, the height of Plant A after 4 months is indeed 12 cm, which confirms your observation that both plants are the same height after 4 months.