Problem

A library graph has hour on the \(x\text{-}\text{axis}\) and number of people on the \(y\text{-}\text{axis}\), with connected points \((1,~12)\), \((2,~18)\), \((3,~18)\), \((4,~15)\), and \((5,~21)\). Test every statement below against the graph and report the complete set of supported statements.

1. At hour \(3\), there are \(18\) people in the library.
2. The number of people increases by the same amount each hour.
3. From hour \(2\) to hour \(3\), the number of people stays the same.
4. The graph includes the point \((4,~18)\).
5. From hour \(4\) to hour \(5\), the number of people increases by \(6\).

People in the Library plotted with Hour on the horizontal axis and Number of people on the vertical axis.

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Select: At hour 3, there are 18 people in the library; From hour 2 to hour 3, the number of people stays the same.

Select: At hour 3, there are 18 people in the library; From hour 2 to hour 3, the number of people stays the same; From hour 4 to hour 5, the number of people increases by 6.

Select: The number of people increases by the same amount each hour; From hour 4 to hour 5, the number of people increases by 6.

Select: At hour 3, there are 18 people in the library; The graph includes the point (4, 18); From hour 4 to hour 5, the number of people increases by 6.

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