At an amusement park there’s only enough room for 4500 people to be in it at any time. The manager has also worked out that there needs to be 2800 people in the park to make a profit after all the overhead costs
and employee pay. If people are entering the park at a rate of 12 people a minute and there are 850 people in
the park currently between how many minutes should the door stay open to let guests in?
(a) Translate the scenario above into a compound inequality involving the number of minutes, m, that the
door has been open

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