Solve the equation below to find the value of t, or the time in months when the heights of Plant A and Plant B are equal.

Question

h=4+2t
h=8+t

Height of Plant A
=
Height of Plant B
Plant A: y=2x+4
Plant B: y=x+8

2x+4=x+8
4+2t
=
8+t

t
=

Answer 1

To find the value of \( t \) when the heights of Plant A and Plant B are equal, we can set the two equations equal to each other:

\[ 4 + 2t = 8 + t \]

Now, let’s solve for \( t \):

1. Start by subtracting \( t \) from both sides:

\[ 4 + 2t - t = 8 \]

This simplifies to:

\[ 4 + t = 8 \]

2. Next, we subtract 4 from both sides:

\[ t = 8 - 4 \]

This gives us:

\[ t = 4 \]

Thus, the value of \( t \) when the heights of Plant A and Plant B are equal is \( \boxed{4} \) months.