Answer:
First graph.
Step-by-step 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
[tex]r=\frac{250 \ bottles}{20 \ minutes} =\frac{25}{2} bottles/min[/tex]
Now, the starting point of such relation is [tex](0,0)[/tex], because 0 bottles are filled in 0 minutes.
The, we use the point-slope form to find the equation that models the linear graph
[tex]y-y_{1} =m(x-x_{1} })\\y-0=\frac{25}{2})x-0)\\ y=\frac{25x}{2}[/tex]
So, according to this relation, when [tex]x=2[/tex], then [tex]y=25[/tex].
Therefore, the first graph is the right answer, because it shows the points (2,25) which is part of the relation.
