Question

Plant A has an initial height of 4 cm and grows at a constant rate of 2 cm per month. The height of Plant A after t months can be represented by the equation h=4+2t, where h is the height of the plant and t is the time in months.
Find the height of Plant A after 2, 6, and 10 months, so that we can plot the relationship between time and height for Plant A on a coordinate plane.
h
=
4+2t
Time in months, (t) Height in cm, (h)
2
6
10

Answer 1

To find the height of Plant A after 2, 6, and 10 months, we can use the equation \( h = 4 + 2t \).

1. For \( t = 2 \) months:
\[
h = 4 + 2(2) = 4 + 4 = 8 \text{ cm}
\]

2. For \( t = 6 \) months:
\[
h = 4 + 2(6) = 4 + 12 = 16 \text{ cm}
\]

3. For \( t = 10 \) months:
\[
h = 4 + 2(10) = 4 + 20 = 24 \text{ cm}
\]

Now we can summarize the results in a table for plotting:

| Time in months (t) | Height in cm (h) |
|---------------------|-------------------|
| 2 | 8 |
| 6 | 16 |
| 10 | 24 |

You can plot these points on a coordinate plane where the x-axis represents time in months and the y-axis represents the height in centimeters.