### Home > CC3 > Chapter 9 > Lesson 9.2.5 > Problem9-134

9-134.

Identify the type of growth in each table below as linear or non-linear.

Linear growth forms a line when the data points are graphed. On a table, you can tell if growth is linear by checking if the $y$-values increase at a constant rate

1.  $x$ $-2$ $-1$ $0$ $1$ $2$ $3$ $y$ $-8$ $-1$ $0$ $1$ $8$ $27$

When $x$ increases by $1$, does $y$ increase by a specific amount? If it helps, take the data points and plot them on a graph.

This table shows non-linear growth. $y$ does not increase at a consistent rate, and the points on the graph do not form a line.

2.  $x$ $-2$ $-1$ $0$ $1$ $2$ $3$ $y$ $4$ $6$ $8$ $10$ $12$ $14$

See the help for part (a).

This table shows linear growth. Make sure you are able to explain why.

3.  $x$ $-2$ $-1$ $0$ $1$ $2$ $3$ $y$ $\frac { 1 } { 4 }$ $\frac { 1 } { 2 }$ $1$ $2$ $4$ $8$

See the help for part (a).