5. The population, in millions, of Country C is given by the equation f(t) = 16 • e(0.02t) . The population of Country D is given by g(t) = 17.5 • e(0.0251) . In both equations, t is the number of years since 1980. a. Will there be a time when the two populations are equal? Explain your reasoning and support your answer with mathematics. b. At some point in time the population of Country C reached 30 million. When does this happen? Explain your reasoning and support your answer with mathematics.

5. The population, in millions, of Country C is given by the equation f(t) = 16 • e(0.02t) . The population of Country D is given by g(t) = 17.5 • e(0.0251) . In both equations, t is the number of years since 1980. a. Will there be a time when the two populations are equal? Explain your reasoning and support your answer with mathematics. b. At some point in time the population of Country C reached 30 million. When does this happen? Explain your reasoning and support your answer with mathematics.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 13PFA

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The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

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