Question

The variable z is inversely proportional to x. When x is 16, z has the value 0.9375.

What is the value of z when x= 26?

Answer 1

Since z is inversely proportional to x, when x increases by a factor of 26/16, z will be multiplied by the inverse of that factor: 16/26

$z=\dfrac{16}{26}\cdot 0.9375=0.5\overline{769230}=\dfrac{15}{26}$