Question

The average diameter of a tree is measured over time. The equation y = 3/4x, where x is time in years and y is the

diameter in inches, models this relationship.
What is the predicted diameter, in inches, of the tree after 12 years?

Answer 1

The predicted diameter of a tree after 12 years is 9 inches.

Explanation:

The average diameter of the tree is represented by
`y = (3)/(4)\cdot x`. The predicted diameter of the tree after 12 years is determined by evaluating the linear function at
`x = 12`. That is:

`y = (3)/(4)\cdot (12)`

`y = 9`

The predicted diameter of a tree after 12 years is 9 inches.