Question

Find the constant of proportionality for the table and write in the form y = kx.

Answer 1

From the given question. we will get the proportion 1 is to 4 so y=4x

Answer 2

Answer:

Constant of proportionality, k = 4

y = 4x

Step-by-step explanation:

Two variables are said to be proportional if the ratio between them is always constant.  This constant ratio is what is referred to as the constant of proportionality, denoted by the letter k.

In this case the two variables are the glasses or lemonade and the lemons used.

The ratio of these variables:

y/x         24 /6 = 4

             32/8 = 4

              28/7 = 4

Therefore you can see that the ratio of proportionality is 4. Meaning k=4

⇒ We can use one set of the variables to get equation in the form of y = kx

 k = 4

                    ∴     y = 4x

This means that you can get the value of any of the variable given only one of them.

y = 4x

                       If x = 6,

                      Then y = 4 × 6 = 24.