During the Flood of 1997 in Fargo, North Dakota, the Red

Essay

During the flood of 1997 in Fargo, North Dakota, the Red River of the North rose menacingly during the month of April. Suppose that the official river level at noon on day t is given by the function R(t). We know that R(April 9) = 35.5 feet and $R ^ { \prime }$ (April 9) = 1.
(a) What are the units of $R ^ { \prime }$ (t)?
(b) Construct a linear function to estimate the water level of the Red River for dates near April 9.
(b) to estimate R(April 7) and R(April 11).
(c) Use this model from part
(d) The Red River crested on April 17 at 39.79 feet. What is $R ^ { \prime }$ (April 17)?
(e) If the Red River level on April 22, R(April 22), was 39 feet and $R ^ { \prime }$ (April 22) was -0.3, use a linear model to estimate R(April 26).