The variable z is directly proportional to x, and inversely proportional to y. when x is 9 and y is 6, z has the value 19.5. what is the value of z when x=14, and y=7

Z=30.8 when X=14 and Z=16.7 when Y=7

Step-by-step explanation:

Z is directly proportional to X: Z=K*X, Where K is a constant

Z is inversely proportional to Y: where is another constant.

When Z=19.5 ,   X=9 , Using this condition we find K value  

19.5=K*9 so, K==2,2

When Z=19.5 ,   Y=6 , Using this condition we find value  

19.5= so, =19.5*6=117

So, When X=14,  Z= 2.2*14=30.8

When Y=7  Z= =16.7