Question

in a proportional relationship the ratio y/x is constant. Show that this ratio is not constant for the equation y=a-14

Answer 1

To show that the ratio
`(y)/(x)` is not constant for the function
`y=a-14` we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here
`a` represents
`x`.

To find the counter examples here, I will use the values
`a=20` and
`a=28`. For
`a = 20` , the equation tells us that the output is

`y=20-14=6`. For this value of
`a` the point is point is
`(20,6)`. The ratio
`(y)/(x) =(6)/(20)`. For the
`a=28`,
`y=28-14=14`. For this value of
`a` the point is
`(28,14)` . The ratio
`(y)/(x) =(14)/(28) =(1)/(2)`. Clearly this ratio is not constant for all ordered pairs.