When y varies inversely with x that means mathematically
[tex]y = \frac{k}{x}[/tex]
- k ⇒ is the proportional constant that we need to find
We know for one, that when y = 68 and x = 1/17, that means
[tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]
Therefore we get the equation of the relationship between y and x as
⇒ [tex]y = \frac{4}{x}[/tex]
So when y = 16, then
[tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
