Suppose the number of bacteria living on 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 left out on a picnic table in the summer sun is given by
T(t)= 4t+10,0≤ t ≤20 Where t is the time in hours.
(a) Find the composition N(T(t))
(b) How long does the food need to be left out in order for the bacteria population to hit exactly 2,720?