Question

How do you write the inverse variation equation of the following: Y varies inversely with x and y = 9 when x = 14?

Answer 1

`y = 126(1/x) = 126/x`

Explanation:

y varies inversely with x means
`y prop 1/x`
`y = k(1/x)` where k is a contant

when `y = 9, x = 14`, plug in these value accordingly.

`9 = k (1/14)` `-> k =9*14 = 126`

therefore it equation is

`y = 126(1/x) = 126/x`