Three points of a function are graphed.

A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?

The function is a direct variation function with a constant of variation of 1.5.
The function is a direct variation function with a constant of variation of 1.8.
The function is linear but is not a direct variation function.
The function is not a linear function.

1 answer

The function is a linear but is not a direct variation function.

This is because the points do lie on a straight line, but the ratio of the y-values to the x-values is not constant. In this case, the ratio is 1.2, not 1.5 or 1.8.
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