To find the height of Mariah's plant, we start with the equation:
\[ 2y = 6x \]
To express \( y \) in terms of \( x \), we can divide both sides of the equation by 2:
\[ y = \frac{6x}{2} \] \[ y = 3x \]
Now we can substitute the values of \( x \) (the number of months) into the equation to find the corresponding height \( y \):
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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 \( x = 7 \): \[ y = 3(7) = 21 \text{ cm} \]
Now we can fill in the table:
| Time in months (x) | Height in cm (y) | |---------------------|-------------------| | 2 | 6 | | 5 | 15 | | 7 | 21 |
So, the heights of the plant after 2, 5, and 7 months are 6 cm, 15 cm, and 21 cm, respectively.