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.

Grade 8th Grade · Math · 50 min

I can identify linear growth in tables and graphs.

Khan Academy · 8:15

Linear, Quadratic, and Exponential Models

3 key concepts

1
A linear function has a constant change in y when x is incremented by a constant amount.
2
A quadratic function has a constant change in the change of y when x is incremented by a constant amount.
3
An exponential function has a constant multiplying factor when x increases by 1.

11 questions · Multiple choice & Short answer

Quick comprehension check

“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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