Growth of a Colony of Fruit Flies A colony of fruit flies exhibits exponential growth. Suppose that 500 fruit flies are present. Let P ( t ) denote the number of fruit flies t days later, and let k = 0.08 denote the growth constant. a. Write a differential equation and initial condition that model the growth of this colony. b. Find a formula for P ( t ) . c. Estimate the size of colony 5 days later.
Growth of a Colony of Fruit Flies A colony of fruit flies exhibits exponential growth. Suppose that 500 fruit flies are present. Let P ( t ) denote the number of fruit flies t days later, and let k = 0.08 denote the growth constant. a. Write a differential equation and initial condition that model the growth of this colony. b. Find a formula for P ( t ) . c. Estimate the size of colony 5 days later.
Solution Summary: The author explains the differential equation and the initial condition that model the growth of the colony.
Growth of a Colony of Fruit Flies A colony of fruit flies exhibits exponential growth. Suppose that
500
fruit flies are present. Let
P
(
t
)
denote the number of fruit flies
t
days later, and let
k
=
0.08
denote the growth constant.
a. Write a differential equation and initial condition that model the growth of this colony.
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