1. Running is a popular form of exercise to burn calories and stay healthy. The number of calories burned while running depends on many factors, but averages about 100 calories per mile. Suppose Nikki goes for a run, traveling at a constant speed of 720 feet per minute and burning 100 calories per mile she runs. What quantities are varying (changing) in this situation? What quantities are constant? Be sure to include units for each quantity. b. Is it possible to write a formula to define the number of calories burned in terms of the number of minutes that Nikki runs? If so, describe the process or processes (and the independent and dependent quantities for each process) you could use to determine the number of calories burned if Nikki runs 50 minutes. Describe how you think each of the following pairs of quantities are changing together. i. As the time (in minutes) spent running increases, how does the distance (in feet) Nikki has traveled change? ii. As the distance (in feet) Nikki has traveled increases, how does the number of calories she has burned change? iii. As the time spent running increases, what happens to the number of calories Nikki has burned?