the longer a tree has been growing, the taller it is. true or false: the height of the tee is a fuction of the length of time it has been growing.

Question

 this algebra problem is a true or false question

Answer 1

A function has an independent variable and a dependent variable; the function produces one or no value of the dependent variable for each allowable value of the independent variable.

 

In this problem the independent variable is the length of time the tree has been growing (say, Y for years).

The dependent variable is the height of the tree (say, H for height).

 

To be a function [ H = f(Y) ], we are saying that, for each possible value of Y (years) there is one or no value for H (height).

 

Is that true or false?

Answer 2

True.  Of course the rate of growth is a function of the time the tree has been growing (age of the tree).