The unit rate in a proportional relationship is 1/3.  If "y" is the dependent variable and "x" is the independent variable, which equation shows the relationship? i)  x = 1/3y ii) y = 1/x iii) x...

The unit rate in a proportional relationship is 1/3.  If "y" is the dependent variable and "x" is the independent variable, which equation shows the relationship?

i)  x = 1/3y

ii) y = 1/x

iii) x = 1/3y

iv) y = 1/3x

 

 

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The variable y depends upon the variable x, hence y is the dependent variable and x is the independent variable. In the relationship, x can vary freely, whereas y can only vary in accordance with the variation in x.

The unit rate is the is the rate of y with respect to x. If the unit rate is 1/3, then for one unit of x, there is 1/3 of a unit of y.

We write

y = 1/3x

y is said to be proportional to x because y increases linearly with x.

Answer iv) y = 1/3x

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