he 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

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.
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

Given the equations for the heights of Plant A and Plant B:

• Plant A: \( h = 4 + 2t \)
• Plant B: \( h = 8 + t \)

To find the time \( t \) when the heights are equal, set the two equations equal to each other:

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

Now, let's solve for \( t \):

1. Subtract \( t \) from both sides: \[ 4 + 2t - t = 8 \] This simplifies to: \[ 4 + t = 8 \]

2. Next, subtract 4 from both sides: \[ t = 8 - 4 \] This gives: \[ t = 4 \]

Thus, the time in months when the heights of Plant A and Plant B are equal is:

\[ \boxed{4} \]