Answer:
[tex]y=-31.06[/tex]Step-by-step explanation:
Since y and x are inversely proportional, we'll have that:
[tex]y=\beta x[/tex]For a given betha value. Since we have a pair of x and y values, we can plug them in the formula and find our particular value of betha, as following:
[tex]\begin{gathered} y=\beta x\rightarrow-71=\beta\times16\rightarrow\beta=-\frac{71}{16} \\ \end{gathered}[/tex]This way, our formula would be:
[tex]y=-\frac{71}{16}x[/tex]Plugging in x = 7,
[tex]\begin{gathered} y=-\frac{71}{16}x\rightarrow y=-\frac{71}{16}(7)\rightarrow y=-\frac{497}{16} \\ \\ \Rightarrow y=-31.06 \end{gathered}[/tex]