5. Functions A and B give the population of 8. City A and City B, respectively, t years since 1990. In each function, population is 7. City A measured in millions. Here are the graphs of the two functions. City B 1 2 3 4 5 6 7 8 9 10 11 12 time (years) a. Which function value is greater: A(4) or B(4)? b. Are there one or more values of t at which the equation A(t) = B(t) is true? If so, %3D which one or which ones? C. Identify at least two values of at which the inequality B(0
5. Functions A and B give the population of 8. City A and City B, respectively, t years since 1990. In each function, population is 7. City A measured in millions. Here are the graphs of the two functions. City B 1 2 3 4 5 6 7 8 9 10 11 12 time (years) a. Which function value is greater: A(4) or B(4)? b. Are there one or more values of t at which the equation A(t) = B(t) is true? If so, %3D which one or which ones? C. Identify at least two values of at which the inequality B(0
Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Functlons A and B glve the population of
City A and City B, respectively, t years since
1990. In each function, population is
City A
measured in millions.
Here are the graphs of the two functions.
City B
1
2 3
4 5 6 7 89 10 11 12
time (years)
a. Which function value is greater: A(4) or B(4)?
b. Are there one or more values of at which the equation A(t) = B(t) is true? If so,
which one or which ones?
C. Identify at least two values of at which the inequality B(0 <A() is true.
population (millions)
8765 4m2
Expert Solution

Step 1
Solution ) a) from the given graph
At t = 4 year
B(4) > A (4)
Hence from given graph B(4) is greater than A(4)
b) from given graph only one intersection point
Where function cross each other
At t = 6 years
So there only one value of t where A(t) = B(t)
In t = 6 years
C) after t = 6 year
B(t) < A(t)
So t = (7 , 8 , 9 , 10 , 11 , 12 ) years
Where B(t) < A(t)
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