Answer: 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:[tex]Z=\frac{K_{1} }{Y}[/tex] where [tex]K_{1}[/tex] is another constant.
When Z=19.5 , X=9 , Using this condition we find K value
19.5=K*9 so, K=[tex]K=\frac{19.5}{9}[/tex]=2,2
When Z=19.5 , Y=6 , Using this condition we find [tex]K_{1}[/tex] value
19.5=[tex]\frac{K_{1} }{6}[/tex] so, [tex]K_{1}[/tex]=19.5*6=117
So, When X=14, Z= 2.2*14=30.8
When Y=7 Z= [tex]\frac{117}{7}[/tex]=16.7
