It is required to find whether the situation shown here is a direct variation.
The slopes are not equal so it is not a direct variation.
A direction variation is of the from [tex]y=mx[/tex]
m = Slope
The ordered pairs are
[tex](12,140),(15,170)(18,200),(21,230)[/tex]
The slopes are
[tex]\dfrac{140}{12}=\dfrac{35}{3}[/tex]
[tex]\dfrac{170}{15}=\dfrac{34}{3}[/tex]
[tex]\dfrac{200}{18}=\dfrac{100}{9}[/tex]
[tex]\dfrac{230}{21}[/tex]
The slopes are not equal so the variation is not a direct variation.
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