Answer:
[tex]y=\frac{28}{x}[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
we have
y = 4 when x = 7
Find the value of the constant of proportionality k
[tex]k=y*x[/tex]
substitute
[tex]k=(4)(7)=28[/tex]
therefore
The equation for the inverse variation is equal to
[tex]y=\frac{28}{x}[/tex]
