# How do you find the function rule given Input= 20; 1; 40; 4; 8; 10 and Output= 2; 40; 1; 10; 5; 4?

Jul 30, 2017

See a solution process below:

#### Explanation:

First, put these inputs and outputs into a table and order them by the least input to the greatest input:

From this you can notice the Input x the Output $=$ 40

Or

$x \cdot y = 40$

We can solve this equation for $y$ giving;

$\frac{x \cdot y}{\textcolor{red}{x}} = \frac{40}{\textcolor{red}{x}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{x}}} \cdot y}{\cancel{\textcolor{red}{x}}} = \frac{40}{x}$

$y = \frac{40}{x}$