Dr. MadScience is testing the strength of chimpanzees. He has developed 3 strength
training programs for his lab chimps. In each program they lift weights once a day.
The amount of weight that they lift each month increases.
Program A starts the chimps at 50 pounds for the first month. The weights over the
next 5 months are 75, 100, 125, 150, and 175.
Program B starts the chimps at 20 pounds for the first month. They will lift double
the amount of weight each month.
Program C starts the chimps at 20 pounds for the first month. The weights over the
next 4 months are 30, 45, 67.5, and 101.25.

Which program has the biggest rate of increase over time ? Explain your thinking