Question

Harper plants a seed, so it has no height yet. It grows at a rate of 3 cm per month. The height of Harper's plant after x months can be represented by the equation y=3x.
Complete the table below. What is the height of the plant after 2, 5, and 8 months? You can solve on paper and then enter your answer on Zearn.
y=3x

Time in months (x) Height in cm (y)
2
5
8

Answer 1

To find the height of the plant after 2, 5, and 8 months using the equation \( y = 3x \):

1. For \( x = 2 \):
\[
y = 3(2) = 6 \text{ cm}
\]

2. For \( x = 5 \):
\[
y = 3(5) = 15 \text{ cm}
\]

3. For \( x = 8 \):
\[
y = 3(8) = 24 \text{ cm}
\]

Now, we can fill in the table:

| Time in months (x) | Height in cm (y) |
|---------------------|-------------------|
| 2 | 6 |
| 5 | 15 |
| 8 | 24 |

So the heights of the plant after 2, 5, and 8 months are 6 cm, 15 cm, and 24 cm, respectively.