Question

Andy found three ordered pairs `(0, 250), (5,575),` and `(10, 900)` for the equation `y=65x+250`. When he graphs these, what is the minimum range for the `y`-axis?

Answer 1

Minimum range of `y` must be `[250,900]`

Explanation:

The range of `y` must include the smallest solution value for `y` and the largest solution value for `y`

Given
`color(white)("XXX")(x,y) in {(0,250),(5,575),(10,900)}`
the smallest solution value for `y` is `250`
and the largest solution value for `y` is `900`

So the range must include `[250,900]`
and in fact this is the minimum that the range can be.