( Combined Variation )

W varies directly us X and Y and in inversely as V² and W= 1200 when X=4, Y=9 and V=6. Find W when X= 3 , Y=12 and V=9.



need help guys please ....


Sagot :

Combined variation (joint and inverse)

W = kXY
          V²

Step 1: Find k;  W = 1200 ; X=4; Y=9
 1200 = k (4)(9)
                   (6)²

1200 = k 36
                 36

k = 1200

Step 2: k = 1200; W = ?  X=3;  Y=12;  V=9

W = kXY
          V²
W = (1200)(3)(12)
                (9)²

W =  43,200
             81

W =  533 and 27/81  or  533 1/3