Callie and Joe are analyzing the inhabitants info in the graphs below for a history file. Their comments are as follows:
Callie: It seems just like the U.S. inhabitants grew the an identical amount because the sector inhabitants, nonetheless that will most certainly well’t be honest true, can it? Joe: Smartly, I don’t focal level on they grew by the an identical amount, nonetheless they optimistic grew at about the an identical payment. Look on the slopes.
Population (in thousands and thousands)
Population (in thousands and thousands)
U.S. Population
300
250
200
150
100
50
0
1950 1960 1970 1980 1990 2000
Year
World Population
7000
6000
5000
4000
3000
2000
1000
0
1950 1960 1970 1980 1990 2000
Year
1a. Is Callie’s commentary honest true? Why or why now not?
1b. Is Joe’s commentary honest true? Why or why now not?
2a. Present your work.
Utilize the World Population graph to estimate the percent expand in world inhabitants from 1950 to 2000.
Now, exercise the U.S. Population graph to estimate the percent expand in the U.S. inhabitants for the an identical time duration.
3a. How does the percent expand for the sector inhabitants compare to that for the U.S. inhabitants over the an identical time duration, 1950 to 2000?
3b. Assemble the graphs above appear to level to linear or exponential inhabitants boost? Mark your response.
4. Write an enlighten formula for the feature that objects the sector inhabitants boost from 1950
to 2000 per the guidelines in the graph. Assume that the inhabitants (in thousands and thousands) in 1950
used to be 2,500 and in 2000 used to be 6,000. Utilize 𝑡 to grunt the form of years after 1950.
Mathematical Modeling Exercise 2
World Population
7000
6000
5000
4000
3000
2000
1000
0
1700 1750
1800 1850
Year
1900 1950 2000
Population (in thousands and thousands)
5. How is this graph an identical to the World Population graph in Mathematical Modeling Exercise 1? How is it a fashion of?
6a. Does the habits of the graph from 1950 to 2000 match that proven on the graph in Mathematical Modeling Exercise 1? Mark your acknowledge.
6b. Why is the graph from Mathematical Modeling Exercise 1 quite misleading?
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