Answer:
- Constant of proportionality: 1/3
- Equation: y = 1/3x
Explanation:
You want the constant of proportionality and the equation associated with a table showing y-values are 1/3 of x-values.
Constant of proportionality
The equation describing a proportional relation can be written ...
y = kx
where k is called "the constant of proportionality."
This equation means that a value for y is found by multiplying the x-value by that constant.
Since you already know that y-values are found by multiplying x-values by 1/3, you already know that k = 1/3, and ...
the constant of proportionality is 1/3
Putting that value in the equation gives you ...
equation: y = 1/3x