Find the quantity indicated

Question

Suppose that Q varies jointly with x and the square of y.

A) When Q = 96, X = 2 and Y = 4. Find constant of proportionality, K

B) Find Q when x = 2 and y=3

Answer 1

Hi Paula,

 

Q varies jointly with x and the square of y.

 

Q=kXY²   (k= constant of proportionality)

 

A)  Q=96 ,  X=2  and Y=4

 

k=Q/XY²

 

k=96/(2)(4)²

 

  =96/32

 

  =3

 

B)  Q=kXY²

 

   X=2  and  Y=3

 

Q=(3)(2)(3)²

 

Q= 54