Question

A four-sided figure is resized to create a scaled copy. The proportional relationship . between any given side length in the original figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy?

Answer 1

Step 1. When two variables are related, for example, x and y, there will be a constant of proportionality between the x-values and the y-values, this constant of proportionality ''k'' is represented in the general formula for proportionality:

`y=kx`

Step 2. In this case, we are relating two variables: f and s, through the following equation:

`s=(1)/(7)f`

If we compare this with the equation from step 1, we can see that 1/7 represents the constant of proportionality:

`k=(1)/(7)`

Answer: The constant of proportionality is 1/7