Question

The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

Answer 1

For
`z` and
`x` to be inversely proportional, there must be some constant
`k` such that


`zx=k`

Given that
`z=0.875` when
`x=16`, it follows that


`0.875\cdot16=k\implies k=14`

Then when
`x=21`, we have


`21z=14\implies z=(14)/(21)=\approx0.667`