Question

When you receive Plant B, it is 8 cm tall, and it grows at a constant rate of 1 cm per month. The height of Plant B after t months can be represented by the equation h=8+t, where h is the height of the plant and t is the time in months.
Find the height of Plant B after 2, 6, and 10 months, so that we can plot the relationship between time and height for Plant B on a coordinate plane.
h
=
8
+
t
Time in months, (t) Height in cm, (h)
2
6
10

Answer 1

To find the height of Plant B after 2, 6, and 10 months using the equation \( h = 8 + t \), we can substitute the values of \( t \) into the equation.

1. For \( t = 2 \):
\[
h = 8 + 2 = 10 \text{ cm}
\]

2. For \( t = 6 \):
\[
h = 8 + 6 = 14 \text{ cm}
\]

3. For \( t = 10 \):
\[
h = 8 + 10 = 18 \text{ cm}
\]

Now, we can summarize the heights in a table:

| Time in months (t) | Height in cm (h) |
|---------------------|-------------------|
| 2 | 10 |
| 6 | 14 |
| 10 | 18 |

These points can be plotted on a coordinate plane, with time \( t \) on the x-axis and height \( h \) on the y-axis.