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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Vlewer.htmirstate%3D%7B'ids %3A%5B"1ZOyJPVI7dkhoh8tpwlus-bkPk8Dt6w1q"%5D%2C'action"%3A"open"%2C
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IHEOMA ANOPUEME Algebral-4-Mid-Unit-Assessment-assessment.pdf
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Illustrative
iMMathematics
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
Transcribed Image Text:Vlewer.htmirstate%3D%7B'ids %3A%5B"1ZOyJPVI7dkhoh8tpwlus-bkPk8Dt6w1q"%5D%2C'action"%3A"open"%2C Kami Schoolo IHEOMA ANOPUEME Algebral-4-Mid-Unit-Assessment-assessment.pdf 10 Illustrative iMMathematics 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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