At the start of the millennium, State A was the third most populous state in the country, followed by State B. Since that time, State B has experienced faster growth. The population y (in millions) of the given state in year x is approximated by the following equations, where x = 0 corresponds to the year 2000. In what year did State B overtake State A in population? To the nearest million, what was the population of these states at that time? State B: 7y - 2x = 101 State A: 12y -x= 212 The year State B overtook State A was (Type a whole number.) The population at that time was million. (Type a whole number.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
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At the start of the millennium, State A was the third most populous state in the country, followed by State B. Since that time, State B
has experienced faster growth. The population y (in millions) of the given state in year x is approximated by the following equations,
where x = 0 corresponds to the year 2000. In what year did State B overtake State A in population? To the nearest million, what was
the population of these states at that time?
State B: 7y - 2x = 101
State A: 12y – x = 212
The year State B overtook State A was
(Type a whole number.)
A
The population at that time was million.
(Type a whole number.)
Transcribed Image Text:At the start of the millennium, State A was the third most populous state in the country, followed by State B. Since that time, State B has experienced faster growth. The population y (in millions) of the given state in year x is approximated by the following equations, where x = 0 corresponds to the year 2000. In what year did State B overtake State A in population? To the nearest million, what was the population of these states at that time? State B: 7y - 2x = 101 State A: 12y – x = 212 The year State B overtook State A was (Type a whole number.) A The population at that time was million. (Type a whole number.)
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