Answer:
y = 2.625
Step-by-step explanation:
If y is inversely proportional to x for positive value:
[tex]y \propto \dfrac{1}{x}\implies y=\dfrac{k}{x}\quad \textsf{for some constant }k, k > 0[/tex]
[tex]\begin{aligned}\textsf{when }x=3.5, y=4.2 \implies 4.2 & =\dfrac{k}{3.5}\\k & = 4.2 \cdot 3.5\\k & = 14.7\end{aligned}[/tex]
[tex]\textsf{Therefore }y=\dfrac{14.7}{x}[/tex]
[tex]\begin{aligned}\textsf{when }x=5.6\implies y & =\dfrac{14.7}{5.6}\\y & = 2.625\end{aligned}[/tex]
