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

1 answer

To find the height of Plant A at the specified times, we can use the formula provided:

\[ h = 4 + 2t \]

where \( h \) is the height in centimeters and \( t \) is the time in months.

Now, let's calculate the heights for \( t = 2 \), \( t = 6 \), and \( t = 10 \).

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

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

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

Now we can summarize the values in a table:

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

You can plot these points on a coordinate plane with \( t \) on the x-axis and \( h \) on the y-axis. The points to plot are (2, 8), (6, 16), and (10, 24).