Question: Hospital Stay The rate of change of the length of the average hospital stay between 1993 and 2000 can be modeled by the equation

where \(t\) is the number of years since 1993. (Source: Based on data from Statistical Abstract, 2001.)

1. Graph \(s\) for the years between 1993 and 2000 .
2. Judging on the basis of the graph, was the length of the average hospital stay increasing or decreasing between 1993 and 2000 ?
3. Find the area of the region lying above the axis between the graph and the \(t\) -axis.
4. Find the area of the region lying below the axis between the graph and the \(t\) -axis.
5. Judging on the basis of your answers to parts \(c\) and \(d\), by how much did the average hospital stay change between 1993 and 2000 ? Can you determine the average stay in 2000 ? Why or why not?

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