Bacteria in a lab culture grow in a way that the rate of change of bacteria is directly proportional to the number of bacteria present.
1. Write a differential equation that represents the relationship.
2. Solve the equation for the number of bacteria as a function of time.
3. Suppose that there were initiallly 4 million bacteria. Three hours later there are 6 million. Find the particular equation that expresses the number of millions of bacteria as a function of time.
1. Write a differential equation that represents the relationship.
2. Solve the equation for the number of bacteria as a function of time.
3. Suppose that there were initiallly 4 million bacteria. Three hours later there are 6 million. Find the particular equation that expresses the number of millions of bacteria as a function of time.