Suppose That at Any Time T, a Colony of Fruit $\mathrm { P } ( \mathrm { t } ) = a \mathrm { e } ^ { \mathrm { b } t }$

question 71

Short Answer

Suppose that at any time t, a colony of fruit flies is growing at a rate equal to one half the current size of the colony. Find a formula which gives the size of the colony at time t if there were originally 500 fruit flies present.
Enter your answer exactly in the form: $\mathrm { P } ( \mathrm { t } ) = a \mathrm { e } ^ { \mathrm { b } t }$

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Definitions:

Bullied

Being subjected to repeated aggressive behavior, physical or psychological, by an individual or group, intending to harm or intimidate.

Object Permanence

The understanding that objects continue to exist even when they are out of sight, developing in infancy.

Caregivers

Individuals who provide care to others, especially children, the elderly, or those with disabilities, offering physical, emotional, and social support.

Infants

Early stage of human development, typically referring to children from birth to 12 months of age, characterized by rapid growth and significant milestones such as crawling and the development of basic language skills.