Question

The equation y=x relates proportional quantities x and y. What is the value of y when x is 36? Enter your answer in the box.

Answer 1

Direct variation:

We are given that x and y are directly proportional.

`y=x`

Recall that the standard form of the directly proportional relationship is given by

`y=kx`

Where k is the constant of proportionality.

Comparing the standard form with the given equation we see that k is equal to 1.

`y=1\cdot x`

Let us substitute the value of x into the above equation

`y=1\cdot36=36`

Therefore, the value of y is 36.

(when the constant of proportionality (k) is 1 then the x and y values are equal)