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Answer :
Final answer:
To find out when the tree was planted, we substituted the height (150 cm) into the equation y=12x+60, solved for x, and found that the tree was planted 7.5 months ago.
Explanation:
The student is asking for help with an algebra problem that involves finding out when a tree was planted based on its current height. We have an equation, y = 12x + 60, which estimates the height of the tree 'y' in centimeters, 'x' months after it is planted. We are given the current height of the tree as 150 cm, and we need to solve for 'x'.
Step-by-step solution:
- Substitute the tree's current height (150 cm) into the equation for 'y': 150 = 12x + 60.
- Subtract 60 from both sides to isolate the term with 'x': 150 - 60 = 12x, which simplifies to 90 = 12x.
- Divide by 12 to solve for 'x': 90 / 12 = x, which simplifies to 7.5 = x.
Thus, the tree was planted 7.5 months ago.
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