Question

A birch tree is $9$ feet tall and grows at a rate of $2$ feet per year. The table shows the height $\mathrm{h}$ of a willow tree after $\mathrm{x}$ years.

Does the table represent a linear or nonlinear function$?$

Answer 1

We know, if rate of change of function is constant then function is linear.

From above table we can see,

As $\mathrm{x}$ increases by different value the rate of change is not constant, so it is not linear function.

Hence, table represents a nonlinear function.