Caloric content versus shell length: In 1965 Robert T. Paine19 gathered data on the length L, in millimeters, of the shell and the caloric content C, in calories, for a certain mollusk. The table...

Caloric content versus shell length: In 1965 Robert T. Paine19 gathered data on the length L, in millimeters, of the shell and the caloric content C, in calories, for a certain mollusk. The table below is adapted from those data.

a. Find an exponential model of calories as a function of length.

b. Plot the graph of the data and the exponential model. Which of the data points show a good deal less caloric content than the model would predict for the given length?

c. If length is increased by 1 millimeter, how is caloric content affected?