The table below gives the U.S. population for selected years from 1950 to 2010. Year 1950 1960 1970 Population (millions) 151.3 179.3 203.3 226.5 248.7 281.4 1980 1990 2000 2010 308.7 (a) Using an exponential function of the form y ab*, with x 0 in 1900 and y equal to the population in millions, write an equation that models the data. Round a and b to 2 decimal places. (b) Use the model to predict the population in 2020. (c) Use your graph to predict when the population will be 400 million. Round x to the nearest whole number,

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Chapter2: Second-order Linear Odes
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NAME:
2. The table below gives the U.S. population for selected years from 1950 to 2010.
Year
Population (millions)
1950
1960
1970
151.3
179.3
203.3
1980
226.5
1990
248.7
2000
281.4
308.7
2010
(a) Using an exponential function of the form y = a b*, with x = 0 in 1900 and y equal
to the population in millions, write an equation that models the data. Round a and b
to 2 decimal places.
(b) Use the model to predict the population in 2020.
(c) Use your graph to predict when the population will be 400 million. Round x to the
nerest whole number.
Transcribed Image Text:NAME: 2. The table below gives the U.S. population for selected years from 1950 to 2010. Year Population (millions) 1950 1960 1970 151.3 179.3 203.3 1980 226.5 1990 248.7 2000 281.4 308.7 2010 (a) Using an exponential function of the form y = a b*, with x = 0 in 1900 and y equal to the population in millions, write an equation that models the data. Round a and b to 2 decimal places. (b) Use the model to predict the population in 2020. (c) Use your graph to predict when the population will be 400 million. Round x to the nerest whole number.
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