Question: The number of days a cold-blooded organism, such as an insect, takes to mature depends on the surrounding temperature, H. Each organism has a minimum temperature Hmin below which no development takes place. For an interval of time, Δt, on which the temperature is constant, the increase in maturity of the organism can be measured by the number of degree-days, ΔS, where t is in days and
ΔS = (H - Hmin)Δt
(a) If H varies with time, so H = f(t), write an integral that represents the total number of degree-days, S, required if development to maturity takes T days.
(b) An organism which has Hmin = 15°C requires 125 degree-days to develop to maturity. Estimate the development time if the temperature, H°C, at time t days is in Table.
