Since y is directly proportional to x, we can write the following relationship:
[tex]y=k\cdot x[/tex]
where k is the constant of proportionallity. Then, k is equal to
[tex]k=\frac{y}{x}[/tex]
By substituting y=55 and x=120, we have
[tex]\begin{gathered} k=\frac{55}{120} \\ k=\frac{11}{24} \end{gathered}[/tex]
Therefore, our relationship is
[tex]y=\frac{11}{24}x[/tex]
Finally, we know that x=60, then y is given by
[tex]y=\frac{11}{24}(60)[/tex]
which gives
[tex]\begin{gathered} y=\frac{660}{24} \\ y=27.5 \end{gathered}[/tex]
that is, when x=60, y is equal to 27.5.
