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

1 answer

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.