The Number of Bacteria in Milk Grows at a Rate

Short Answer

The number of bacteria in milk grows at a rate of 11% per day once the milk has been bottled. When milk is put in the bottles, it has an average bacteria count of 500 million per bottle. Suppose milk cannot be safely consumed if the bacteria count is greater than 3 billion per bottle. Under this model, how many days would the milk be safe to drink once it has been bottled?