Answer:
Option C. [tex]0.3[/tex]
Step-by-step explanation:
step 1
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]
In this problem we have
[tex]f(x)=0.9,x=0.5[/tex]
Find the value of k
[tex]k=f(x)*x=0.9*0.5=0.45[/tex]
so
The inverse variation function is equal to
[tex]f(x)=0.45/x[/tex]
step 2
What is f(x) when [tex]x = 1.5[/tex]?
substitute the value of x in the function
[tex]f(1.5)=0.45/1.5=0.3[/tex]
