The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5. What is value of Z when X =8, & Y= 12
This is the concept of proportionality, given that z is directly proportional to x and inversely proportional to y then: zαx/y z=(kx)/y where; k is the constant of proportionality given by: k=zy/x but when x=3 and =6 then z=9.5 therefore: k=(9.5*6)/3 k=19 hence the formula for z will be: z=(19x)/y the value of z when x=8 and y=12 will be: z=(19*8)/12 z=12 2/3
