Answer:
The equation that models the height y of the plant after x years is:
y = 1.5x + 6
Explanation:
In this equation, "x" represents the number of years the tree has been growing, and "y" represents its height in feet. The constant term of 6 represents the initial height of the tree when it was first planted, while the coefficient of 1.5 represents the rate at which it grows each year.
To use this equation, simply plug in the number of years you want to calculate for "x" and solve for "y". For example, if you want to know how tall the tree will be after 10 years, you would substitute 10 for "x":
y = 1.5(10) + 6
y = 15 + 6
y = 21
Therefore, after 10 years, the tree will be 21 feet tall.