The table below shows the U.S population from 1970 to 2020. Use the data to respond to the following questions. Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 t = Time since 1790 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 Population (Millions) 3.929 5.308 7.240 9.638 12.866 17.069 23.192 31.443 39.818 50.156 62.948 75.995 91.972 105.711 122.775 131.669 150.697 179.323 203.302 226.542 248.710 282.399 308.746 331.449 a. Create a scatter plot representing the relationship between the U.S population and census year. b. Describe any relationships between the time since 1970 and the population. c. Create a formula for the U.S population in terms of the time (t) since 1790. d. Use the model to predict the U.S population in 2050.

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Author:Amos Gilat
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The table below shows the U.S population from 1970 to 2020.
Use the data to respond to the following questions.
Year
1790
1800
1810
1820
1830
1840
1850
1860
1870
1880
1890
1900
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
2010
2020
t = Time
since 1790
0
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220
230
Population
(Millions)
3.929
5.308
7.240
9.638
12.866
17.069
23.192
31.443
39.818
50.156
62.948
75.995
91.972
105.711
122.775
131.669
150.697
179.323
203.302
226.542
248.710
282.399
308.746
331.449
a.
Create a scatter plot representing the
relationship between the U.S population
and census year.
b. Describe any relationships between the
time since 1970 and the population.
c. Create a formula for the U.S population in
terms of the time (t) since 1790.
d. Use the model to predict the U.S population
in 2050.
Transcribed Image Text:The table below shows the U.S population from 1970 to 2020. Use the data to respond to the following questions. Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 t = Time since 1790 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 Population (Millions) 3.929 5.308 7.240 9.638 12.866 17.069 23.192 31.443 39.818 50.156 62.948 75.995 91.972 105.711 122.775 131.669 150.697 179.323 203.302 226.542 248.710 282.399 308.746 331.449 a. Create a scatter plot representing the relationship between the U.S population and census year. b. Describe any relationships between the time since 1970 and the population. c. Create a formula for the U.S population in terms of the time (t) since 1790. d. Use the model to predict the U.S population in 2050.
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