If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.
Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.
Given that machine take 3 minutes to fill 40 bottles
So for 1 minute the machine fill [tex]\frac{40}{3}[/tex] = 13.3333 bottles.
That is in 1 minute the machine fill approximately 14 bottles.
So the machine take a time to fill 240 bottles is [tex]\frac{240}{14} = 18.461[/tex].
Thus the machine take approximately 18 minutes to fill 240 bottles.
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