The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form. When y=20 , x=12.

Given:

y is proportional to x.

y=20 and x=12.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

             ...(i)

Where, k is the constant of proportionality.

Putting y=20 and x=12, we get

Putting in (i), we get

Therefore, the contestant of proportionality is and the equation for the proportional relationship is  .