Given:
A refreshment stand makes 2 large servings of frozen yogurt from 5 pints.
Let the number pints = x
And the number of the serving the frozen yogurt = y
so, we will have the equation:
[tex]y=k\cdot x[/tex]when x = 5, y = 2
so,
[tex]\begin{gathered} 2=k\cdot5 \\ k=\frac{2}{5} \end{gathered}[/tex]so, the relation between (x) and (y) will be:
[tex]y=\frac{2}{5}x[/tex]the graph of the line will be as shown in the following picture: