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 Harper's plant after a given number of months using the equation \(y = 3x\), we can substitute the values for \(x\).

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

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

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

Now we can fill in the table:

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

So, the height of the plant after 2 months is 6 cm, after 5 months is 15 cm, and after 8 months is 24 cm.