She has rigged a digitizing camera that feeds data directly into a computer, and has hired you to write a scanning program that will calculate the percentage of the surface of the Petri dish covered...

She has rigged a digitizing camera that feeds data directly into a computer, and has hired you to write a scanning program that will calculate the percentage of the surface of the Petri dish covered by the bacteria. In addition, your program is to display the surface of the Petri dish in hues of blue/green. After some initial experimentation, you have determined that an area of the Petri dish, center coordinates (x, y), has an average hue in the range from white to pink that depends upon both the (x, y) coordinates and the length of time, t, that the experiment has been running. For reasons that are not entirely clear, the exact relationship seems to be