Answer:
[tex]x=0[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
in this problem
For x=32, y=-4
Find the value of the constant of proportionality k
[tex]k=y/x[/tex]
substitute
[tex]k=-\frac{4}{32}[/tex]
simplify
[tex]k=-\frac{1}{8}[/tex]
so
The linear equation is
[tex]y=-\frac{1}{8}x[/tex]
Find x when the value of y=0
Remember that
In a proportional relationship the line passes through the origin
so
If y=0
then
the value of x must be equal to zero
therefore
[tex]x=0[/tex]
