Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The table shows a proportional relationship between x and y.

x 1 2 3
y 3 6 9

The proportionality constant (y to x) is ____

Answer 1

the proportionality constant is 1/3 meaning y is 1/3 of x or x is 3×y

Answer 2

`k=3`

Explanation:

1) The Proportionality Constant (k) is given by the following ratio:

`k=(y)/(x)=(3)/(1)=(6)/(2)=(9)/(3)\Rightarrow k=3`

This shows that this function is a linear function (with b=0), and proportional one, that can also be written in this form:

`y=kx \: \Rightarrow y=3x`