Answer:
Option B. [tex]15/8[/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]
step 1
Find the value of k
we have
For [tex]x=5, y=12[/tex]
substitute
[tex]k=y*x[/tex]
[tex]k=12*5=60[/tex]
The equation is
[tex]y*x=60[/tex]
step 2
Find the value of x when y=32
substitute the value of y in the equation and solve for x
[tex]y*x=60[/tex]
[tex]32x=60[/tex]
[tex]x=60/32[/tex]
Simplify
[tex]x=15/8[/tex]
