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

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Answer 1 · 2017-07-30T12:30:18

See a solution process below:

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

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

Or

$x \cdot y = 40$ $x * y = 40$

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We can solve this equation for $y$ $y$ giving;

$\frac{x \cdot y}{x} = \frac{40}{x}$ $(x * y)/color(red)(x) = 40/color(red)(x)$

$(color(red)(cancel(color(black)(x))) * y)/cancel(color(red)(x)) = 40/x$

$y = 40/x$

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