Answer:
a) Q(t) = 89 + 12t
b) Q(3) = 125 millions of bacteria
Step-by-step explanation:
a)
to write a function of the growth of bacteria, we need to consider the initial population and add it to the new bacteria. Also we need to consider that the result of the function is in millions of bacteria, so when we get a result, we express it in millions.
Data
Initial population = 89 just add it to the function given 12t
Q(t) = 89 + 12t
b) Data time = 3 h
Q(3) = 89 + 12(3) substitution
Q(3) = 89 + 36 simplifying
Q(3) = 125 millions of bacteria