# 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

### 1 Answer | Add Yours

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**