From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by   P  =  37.5t + 6075     State A P  =  168.2t + 5138     State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by

 
P  =  37.5t + 6075     State A
P  =  168.2t + 5138     State B

where P is the population (in thousands) and t represents the year, with

t = 0

corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)

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