When Q= 14\5, x= 4 and y= 3. Find Q if x= 8 and y= 3

Question

Suppose that Q varies directly with x and inversely with y.

Answer 1

Hi Danny,

 

    When Q= 14\5, x= 4 and y= 3. Find Q if x= 8 and y= 3
Suppose that Q varies directly with x and inversely with y.

 

   The equation is:                  Q=kx/y    

 

                                        14/5=k(4)/3

multiply both sides by 3/4:    21/10=k     (k is the constant of variation)

 

 Find Q if x= 8 and y= 3:

 

       Q=(21/10)(8/3)

         = 28/5

 

ANSWER:  Q=28/5  or 5.6 (in decimal form)