The number of bacteria in milk grows at a rate of 10% per day once the milk has been bottled. When the milk is put in the bottles, it has an average bacteria count of 500 million (5x10⁸) per bottle.

a. Write an equation for f(t) the number of bacteria t in days after the milk is bottled.

b. Suppose milk cannot be safely consumed if the bacteria count than 3 billion (3x10⁹) per bottle. How many days will the milk be safe to drink once it has been bottled?

Its life science for calculus