10. City A has a population of 3 million at t = 0, where t is measured in years, and doubles every 10 years. City B has a population of 8 million at t = 0 and is decreasing at a rate 6% per year. (a) Find the formula for the population A(t) of City A (in millions of people) as a function of time t (in years). (b) Find the formula for the population for the population B(t) of City B (in million of people) as a function of time t (in years). (c) When are the populations of the two cities equal? 3, 000,000 City A City B

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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10. City A has a population of 3 million at t = 0, where t is measured in years, and doubles every
10 years. City B has a population of 8 million at t = 0 and is decreasing at a rate 6% per year.
(a) Find the formula for the population A(t) of City A (in millions of people) as a function of time
t (in years).
(b) Find the formula for the population for the population B(t) of City B (in million of people) as
a function of time t (in years).
(c) When are the populations of the two cities equal?
3, 000,000
City A
City B
Transcribed Image Text:10. City A has a population of 3 million at t = 0, where t is measured in years, and doubles every 10 years. City B has a population of 8 million at t = 0 and is decreasing at a rate 6% per year. (a) Find the formula for the population A(t) of City A (in millions of people) as a function of time t (in years). (b) Find the formula for the population for the population B(t) of City B (in million of people) as a function of time t (in years). (c) When are the populations of the two cities equal? 3, 000,000 City A City B
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