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

Let's substitute \( t = 4 \) into the equation for Plant A:

\[ h = 4 + 2t \] \[ h = 4 + 2(4) \] \[ h = 4 + 8 \] \[ h = 12 \]

So the height of Plant A after 4 months is indeed \( 12 \) cm.

Now, let's check the height of Plant B at the same time by substituting \( t = 4 \) into the equation for Plant B:

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

The height of Plant B after 4 months is also \( 12 \) cm.

Both Plant A and Plant B have the same height of \( 12 \) cm after \( 4 \) months, confirming your observation!