A Population of Bacteria Is Introduced into a Culture $P = 500 \left( 1 + \frac { 4 t } { 50 + t ^ { 2 } } \right)$

question 59

Multiple Choice

A population of bacteria is introduced into a culture. The number of bacteria P can be modeled by $P = 500 \left( 1 + \frac { 4 t } { 50 + t ^ { 2 } } \right)$ where t is the time (in hours) . Find the rate of change of the population when t = 2.

• A) \(31.55 \text { bacteria/hr }\)
• B) \(29.15 \text { bacteria/hr }\)
• C) \(33.65 \text { bacteria/hr }\)
• D) \(32.75 \text { bacteria/hr }\)
• E) \(30.25 \text { bacteria/hr }\)

---

Definitions:

Conventional Morality

A stage in Lawrence Kohlberg's theory of moral development during which individuals' moral reasoning is based on conforming to social rules, laws, and norms to maintain societal order.

Preconventional Morality

The first level in Kohlberg's theory of moral development, where individuals' moral reasoning is based primarily on the consequences of their actions and external rewards or punishments.

Menopause

The period marking the end of a woman's reproductive years, characterized by the cessation of menstruation and decreased hormone production.

Cognitive Abilities

Mental skills that involve processing information, understanding, reasoning, and problem solving.