Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20

Question

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.
I solved the other parts to this question, but not sure about this: What is the physical interpretation of this composition function? N(T(t))

Answer 1

Since T(t) is the temperature after t hours,

N(T(t)) is the number of bacteria after t hours