Answer to Question #285815 in Algebra for sly

Question

The best time to plant trees was 20 years ago. the second time is now.

data from the lumber industry shows that the older the tree(a) the greater the number of board feet(n) that can be created from the tree. for a tree that is 160 years old, 18200board feet can be used.

A. write an equation in slope-intercept form to represent the situatoon.

B. what does the independent variable represent?

C. what does the dependent variable represent?

D. if 6825 board feet was used from a tree how old was the tree.

Answer 1

A. write an equation in slope-intercept form to represent the situation:

$$n=ka,\\ 18200=k·160,\\ k=113.75$$

B. The independent variable represents the age of the tree.

C. The dependent variable represents the number of board feet that can be created from the tree. 

D. If 6825 board feet was used from a tree, the age of the tree is

$$a=n/k=6825/113.75=60.$$