Question

The numbers of bottles a machine fills is proportional to the number of minutes the machine operates.the machine fills to 250 bottles every 20 minutes. which of the following graphs correctly models this relationship?its not b that's all I know cause I got it wrong.

Answer 1

First graph.

Explanation:

Givens

• The machine fills 250 bottles every 20 minutes.

The given information is the rate of change of the linear relation between variables. Such ratio is

`r=(250 \ bottles)/(20 \ minutes) =(25)/(2) bottles/min`

Now, the starting point of such relation is
`(0,0)`, because 0 bottles are filled in 0 minutes.

The, we use the point-slope form to find the equation that models the linear graph

`y-y_(1) =m(x-x_(1) })\\y-0=(25)/(2))x-0)\\ y=(25x)/(2)`

So, according to this relation, when
`x=2`, then
`y=25`.

Therefore, the first graph is the right answer, because it shows the points (2,25) which is part of the relation.