Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20
where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when it is left out on a picnic table is given by T(t)= 4t + 10, 0<=t<=2
where t is the time in hours.
a) find the composition of N(T(t)). What is the physical interpretation of this composition function?
I found the composition of the function to be: N(T(t))= 1600t^2 + 7984t + 10160, I just don't understand what the physical interpretation is.