The number n of bacteria in a refrigerated food is givenby the model below, where t is the temperature of the foodin degrees celsius.
n(t) = 10t2 − 20t + 500, 1≤ t ≤ 35
when the food is removed from refrigeration, the temperature of thefood is given by t(t) = 2t + 2, 0 ≤ t ≤ 6,where t is the time in hours.
(a) find the compositionn(t(t))and interpret its meaning incontext.
n(t(t)) =
1
, 0 ≤ t≤ 6

2
thisrepresents the increase in the number of bacteria in the food fromtime t to t + 1.
thisrepresents the rate at which the number of bacteria in the food isincreasing as a function of time.
thisrepresents the number of bacteria in the food as a function oftime.
thisrepresents the rate at which the temperature of the food ischanging as a function of time.