Question: Natural Science A factory begins emitting particulate matter into the atmosphere at 8 A.M. each workday, with the emissions continuing until 4 P.M. The level of pollutants. \(P(t)\), measured by a monitoring station \(1 / 2\) mile away is approximated as follows, where \(t\) represents the number of hours since 8 A.M.

\[P(t)= \begin{cases}75 t+100 & \text { if } 0 \leq t \leq 4 \\ 400 & \text { if } 4<t<8 \\ -100 t+1200 & \text { if } 8 \leq t \leq 10 \\ -\frac{50}{7} t+\frac{1900}{7} & \text { if } 10<t<24\end{cases}\]

Find the level of pollution at

1. 9 A.M.
2. 11 A.M.
3. \(5 \mathrm{P.M}\).
4. 7 P.M.
5. Midnight.
6. Graph \(y=P(t)\).
7. From the graph in part (f), at what time(s) is the pollution level highest? lowest?

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