Question: Baby formula can contain bacteria which double in number every half hour at room temperature and every 10 hours in the refrigerator. There are B0 bacteria initially.
(a) Write formulas for
(i) Rn, the number of bacteria n hours later if the baby formula is kept at room temperature.
(ii) Fn, the number of bacteria n hours later if the baby formula is kept in the refrigerator.
(iii) Yn, the ratio of the number of bacteria at room temperature to the number of bacteria in the refrigerator.
(b) How many hours does it take before there are a million times as many bacteria in baby formula kept at room temperature as there are in baby formula kept in the refrigerator?