To find the height of the plant after 2, 5, and 8 months using the equation \( y = 3x \):
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For \( x = 2 \): \[ y = 3(2) = 6 \text{ cm} \]
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For \( x = 5 \): \[ y = 3(5) = 15 \text{ cm} \]
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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.