Here again is the histogram showing the distribution of times, in minutes, required for 25 rats in an animal behavior experiment to navigate a maze successfully. The histogram has 8 intervals, each with a width 1 minute and with midpoints at 2, 3, 4 ... and 9 minutes. The frequencies are 3, 8, 6, 4, 2, 1, 0 and 1.

For the data described by the above histogram,

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)