A Culture Starts With $680$ Bacteria After Just $30$ Minutes the Count Is

question 26

Essay

A culture starts with $680$ bacteria. After just $30$ minutes the count is $3250$ . Find a formula for the number of bacteria after $t$ hours. Find the number of bacteria after $3.5$ hours. After how many minutes will the number of bacteria triple? 

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Definitions:

Arousal

A physiological and psychological state of being awoken or stimulated to action, often associated with increased physical activity and alertness.

Vulnerability Stress

This concept relates to how preexisting vulnerabilities in an individual can exacerbate their reaction to stress, potentially leading to worsened outcomes.

Marital Dissolution

The end of a marriage through separation, divorce, or death, resulting in the termination of the marital relationship.

Enduring Vulnerabilities

Persistent or lasting weaknesses or susceptibilities that can affect an individual's coping mechanisms or psychological resilience.