A Bacterial Culture Grows Exponentially; That Is, P(t) = 100 $\mathrm { e^{kt} }$

question 19

Multiple Choice

A bacterial culture grows exponentially; that is, P(t) = 100 $\mathrm { e^{kt} }$ , where P(t) is the size of the culture at time t hours. Suppose that after 2 hours the size of the culture is 400. What is k (approximately) ?

• A) 3
• B) 0.69
• C) 0.06
• D) 0.48
• E) none of these

---

Definitions:

Resource Supplies

The availability of materials, goods, or services that can be used to support life, industry, or economic activity.

Replacement-level Fertility

The fertility rate that maintains a population's size across generations, usually about 2.1 children per woman in most developed countries.

Average Replacement-level

The fertility rate at which a population exactly replaces itself from one generation to the next, without migration.

Actual Average

The true or exact mean calculated from a set of data, as opposed to an estimated or theoretical average.