What is the defining characteristic of linear growth when examining a table of values?

When x increases by a constant amount, y changes by a constant amount.

In a table of values, the x-values increase by 2 each time. If the y-values increase by 5 each time, is the relationship linear? Explain.

Yes, the relationship is linear because for every constant change in x (increase of 2), there is a constant change in y (increase of 5).

A graph that represents linear growth will be a straight line.

No, this graph does not represent linear growth because linear growth is represented by a straight line, not a curve.

8th GradeMath50 min

I can identify linear growth in tables and graphs.

9 min

Linear, Quadratic, and Exponential Models

Khan Academy

10 min

Key concepts students will learn:

•
A linear function has a constant change in y when x is incremented by a constant amount.
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A quadratic function has a constant change in the change of y when x is incremented by a constant amount.
•
An exponential function has a constant multiplying factor when x increases by 1.

15 min

11 questions • Multiple choice & Short answer

5 min

“The table below shows values for x and y. Does the table represent a linear function? Explain why or why not. x y 1 5 2 8 3 11 4 14”

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