The flow, F, in a river was measured as a function of time, t, and the following data were obtained.

a. Plot the data and use the trapezoid method to estimate the total amount of water that flows down the river during these 25 days.
Make sure your total amount of water is given in the correct units.

b. You expect that F will be given by F(t) = F0 1 +
t K for some constants F0 and K. What are the units of F0 and K?

c. Use the data to estimate the value of F0. (Hint: think about what happens when t = 0.)

d. Use the function given in part

(b) to calculate the total amount of water that flows down the river during these 25 days. Then, write down an equation that you could use to find the value of K.