IM Alg1.4.9 Lesson: Comparing Graphs

This graph shows the populations of Baltimore and Cleveland in the 20th century.
 [math]B\left(t\right)[/math] is the population of Baltimore in year [math]t[/math]. [math]C\left(t\right)[/math] is the population of Cleveland in year [math]t[/math].[br][br][img]data:image/png;base64,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[/img][br][br]Estimate [math]B\left(1930\right)[/math] and explain what it means in this situation.[br]
[size=150]Here are pairs of statements about the two populations. [br][/size][br]In this pair, which statement is true? Be prepared to explain how you know.
In this pair, which statement is true? Be prepared to explain how you know.
Were the two cities’ populations ever the same? If so, when?[br]
H(t) is the percentage of homes in the United States that have a landline phone in year t.
[math]C\left(t\right)[/math] is the percentage of homes with [i]only[/i] a cell phone. Here are the graphs of [math]H[/math] and [math]C[/math].[br][img]data:image/png;base64,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[/img][br]Estimate [math]H\left(2006\right)[/math] and [math]C\left(2006\right)[/math]. Explain what each value tells us about the phones.[br]
What is the approximate solution to [math]C\left(t\right)=20[/math]? Explain what the solution means in this situation.[br]
Determine if each equation is true. Be prepared to explain how you know.[br][math]C\left(2011\right)=H\left(2011\right)[/math]
[math]C\left(2015\right)=H\left(2015\right)[/math]
Between 2004 and 2015, did the percentage of homes with landlines decrease at the same rate at which the percentage of cell-phones-only homes increased? Explain or show your reasoning.[br]
Explain why the statement [math]C\left(t\right)+H\left(t\right)\le100[/math] is true in this situation.[br]
What value does [math]C\left(t\right)+H\left(t\right)[/math] appear to take between 2004 and 2017? How much does this value vary in that interval?[br]
The number of people who watched a TV episode is a function of that show’s episode number. Here are three graphs of three functions—A, B and C—representing three different TV shows.
Match each description with a graph that could represent the situation described. One of the descriptions has no corresponding graph.
Which is greatest, [math]A(7)[/math], [math]B(7),[/math] or [math]C(7)[/math]? Explain what the answer tells us about the shows.[br]
Sketch a graph of the viewership of the fourth TV show that did not have a matching graph.
Here are graphs that represent two functions, f and g.
[img]data:image/png;base64,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[/img][br]Decide which function value is greater for each given input. Be prepared to explain your reasoning.
Is there a value of [math]x[/math] at which the equation  [math]f(x)=g(x)[/math] is true? Explain your reasoning.
Identify at least two values of [math]x[/math] at which the inequality [math]f(x)[/math]<[math]g(x)[/math] is true.[br]
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Information: IM Alg1.4.9 Lesson: Comparing Graphs