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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?

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 class=

Sagot :

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