Directly proportional to x
z=kx
And inversely proportional to y
z=kx/y we are given the point (x,y,z) of (3, 6, 9.5) so
9.5=3k/6 now multiply both sides by 6
57=3k divide both sides by 3
19=k so now that we know the constant of proportionality:
z=19x/y, and we want to solve for z when x=8 and y=12 so:
z=19(8)/12
z=12 2/3 exact
z≈12.667 (rounded to the nearest thousandth)
