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:

Origin

In the context of art and architecture, it refers to the beginning or source of a particular style, movement, or the conceptual genesis of a work.

Life of Christ

Refers to the narrative and teachings of Jesus Christ, as chronicled in the Christian Gospels and other religious texts.

Lamentation

An art theme depicting the grief or mourning of Christ's followers after his crucifixion, especially the scene with Mary holding the dead body of Jesus.

Anastasis

Greek, “resurrection.” In Byzantine art, the representation of Christ’s descent into limbo.