The Number of Bacteria in Milk Grows at a Rate

question 103

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?

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Definitions:

Innovation

The introduction of new ideas, goods, services, or practices that aim to improve processes, increase efficiency, or solve problems.

Diffusion

The spread of innovations, ideas, behaviors, or products from their place of origin to other cultures or societies.

Water-Soluble Material

Material that can dissolve in water, meaning it can become uniformly dispersed when mixed with water at a certain temperature.

Invention

The creation of a new product, process, or idea that did not exist before.