Question

Calculate the constant of proportionality for this table.A. 5/4B. 4/5C. 5 D. 5/2 Write the equation that represents the relationship in the table. Use y and x as variables in your equation.

Answer 1

The constant of proportionality is the constant value of the ratio of y and x. It is usually denoted as k.

k = y/x

OR

y = kx

From the information given, the value of k is derived as;

`\begin{gathered} k=2(1)/(2)\text{ / }(1)/(2) \\ k=(5)/(2)*(2)/(1) \\ k=5 \end{gathered}`

Where y = kx, then

`y=5x`

That means, the value of y can always be derived by multiplying x by the constant of proportionality