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
mathsworkmusic | (Level 2) Educator
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