A company that manufactures running shoes claims that their shoes can make you people run faster. The average 40 yard dash time for NFL wide receivers at the NFL Combine is 4.48 seconds, and the company thought that this would be the perfect group to test their claim on. Suppose that they gave 18 wide receivers their shoes to run the 40 yard dash, and that group had an average time of 4.45 seconds with a standard deviation of 0.04 seconds. Does this sample provide evidence that the shoes make you run faster?

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)