Question

Suppose x is directly proportional to y but inversely proportional to z. If x =3 when y = 6 and z =4, then what is z when y=3?

Answer 1

z = 2

Explanation:

The proportionality can be written as ...

x = ky/z

Then ...

z = ky/x

If x is constant, z is directly proportional to y. When y is reduced by a factor of 2 from 6 to 3, then z will be reduced by a factor of 2 from 4 to 2.

z = 2 . . . . when y=3 and x=3