The graph shows a proportional relationship between time and number of boxes a machine packages. How many boxes does the machine pakage in 5 minutes?

Given :
The graph shows a proportional relationship between time and number of boxes a machine packages.
So, the relation between x and y will be :
[tex]y=k\cdot x[/tex]From the graph : in 8 minutes , the number of boxes = 480
so,
[tex]\begin{gathered} k=\frac{480}{8}=60 \\ \\ y=60x \end{gathered}[/tex]To find the number of boxes in 5 minutes, substitute with x = 5
[tex]y=60\cdot5=300[/tex]So, the answer is : the number of boxes in 5 minutes = 300 box