Find the constant of variation k for the inverse variation then write an equation for the inverse variation y=4.5 whenx=3

Question

answer are

a.k=13.5;13.5y=x

b.k=1.5;y=1.5x

c.k=1.5;y=1.5/x

d.k=13.5;xy=13.5

Answer 1

Inverse variations:  y = k/x

 

4.5 = k/3

k = 4.5(3) = 13.5

 

Your equation is: y = 13.5/x  or  xy = 13.5

 

This is answer d

Answer 2

I think you mean the following:

 

 

How do you find the constant of variation K for the inverse variation and then write an equation for the inverse variation given Y= 4.5 when X= 3?

Inverse variations are represented as

 

(x)(y)=k

 

Given

x=3
y=4.5

So constant k =

 

k= (3)(4.5)=  13.5

So the variation can be represented as
xy=13.5

Answer is d