0.05t The rates of change in population for two cities are P'(t) = 45 for Alphaville and Q'(t) = 102 e of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 6000, and Betaburgh had a population of 3500. Answer parts a) through c). for Betaburgh, where t is the number a) Determine the population models for both cities. The population model for Alphaville is P(t) =

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
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0.05t
The rates of change in population for two cities are P'(t) = 45 for Alphaville and Q'(t) = 102 e
of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 6000, and Betaburgh had
a population of 3500. Answer parts a) through c).
for Betaburgh, where t is the number
a) Determine the population models for both cities.
The population model for Alphaville is P(t) =:
%3D
Transcribed Image Text:0.05t The rates of change in population for two cities are P'(t) = 45 for Alphaville and Q'(t) = 102 e of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 6000, and Betaburgh had a population of 3500. Answer parts a) through c). for Betaburgh, where t is the number a) Determine the population models for both cities. The population model for Alphaville is P(t) =: %3D
Expert Solution
Step 1

To find the population models for the two cities whose rates or change are given by 

P'(t)=45 for Alphaville and Q'(t)=102e^(0.05t) for betaburgh

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