Question

Is Sam's answer right and if not right how to fix it

Answer 1

y = 6x

Step-by-step explanation

Sam wants to write an equation to represent a proportional relationship.

The constant of proportionality is 6.

A proportional relationship is one where one value is related to another by a certain factor such that a change in one value will result in a proportional change in the other.

It is generally represented as:

`\begin{gathered} y\text{ }\propto\text{ x} \\ \Rightarrow\text{ y = kx} \\ \text{where k = constant of proportionality} \end{gathered}`

Therefore, for Sam, the constant of proportionality is 6.

The equation to represent it will be:

y = 6x

So, Sam is wrong.