Question 1199482
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p = number of people


The true value of p is unknown, but we know that it rounds to 29800 when rounding to the nearest hundred people.


The smallest p could be is 29750 since that rounds to 29800. 
The largest is 29849; note that 29850 rounds to 29900.


We have this interval {{{29750 <= p <= 29849}}}


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r = the rate in which the people leave
This rate is in "people per minute".


Like p, the true value of r is unknown.
The midpoint of 350 and 400 is (350+400)/2 = 375, which represents the smallest value r could be if we round to the nearest 50.
The value 374 would round to 350.


On the other side of the spectrum, (400+450)/2-1 = 425-1 = 424 rounds to 400 as well when rounding to the nearest 50. 
The value 425 rounds to 450.


To wrap this section up, you have this interval {{{375<=r<=424}}} 


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Summary so far:
{{{29750 <= p <= 29849}}}
{{{375<=r<=424}}} 
where p is the number of people and r is the rate in which they leave (in people per minute).


If we have the smallest number of people (29750) and the highest rate in which they leave (424), then we'll get the lower bound of how long it takes everyone to leave. 
This can be thought of as the floor value.


time = (number of people)/(rate)
time = (29750)/(424)
time = 70.1650943396227
time = 70.165


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Answer: Approximately 70.165 minutes.
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