The table shows the U.S. population Pin millions between 1940 and 2000. Year 1940 1950 1960 1970 1980 1990 2000 Population 131.7 150.7 179.3 203.3 226.5 248.7 281.4 (a) Determine an exponential function that fits these data, where t is years since 1940. (Round all numerical values to three decimal places.) (b) Use this model to predict the U.S. population in millions in 2025 and in 2040. (Round your answers to one decimal place.) 2025 million 2040 million

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The table shows the U.S. population Pin millions between 1940 and 2000.
Year
1940
1950
1960
1970
1980
1990
2000
Population
179.3 203.3 226.5 248.7
131.7
150.7
281.4
(a) Determine an exponential function that fits these data, where t is years since 1940. (Round all numerical values to three decimal
places.)
(b) Use this model to predict the U.S. population in millions in 2025 and in 2040. (Round your answers to one decimal place.)
2025
million
2040
million
(c) The U.S. population reached 300 million
2006, How close does the exponential function come to predicting that value?
O The exponential prediction is within one year.
O The exponential prediction is more than a year off, but less than five years away.
OThe exponential prediction is more than five years off.
Transcribed Image Text:The table shows the U.S. population Pin millions between 1940 and 2000. Year 1940 1950 1960 1970 1980 1990 2000 Population 179.3 203.3 226.5 248.7 131.7 150.7 281.4 (a) Determine an exponential function that fits these data, where t is years since 1940. (Round all numerical values to three decimal places.) (b) Use this model to predict the U.S. population in millions in 2025 and in 2040. (Round your answers to one decimal place.) 2025 million 2040 million (c) The U.S. population reached 300 million 2006, How close does the exponential function come to predicting that value? O The exponential prediction is within one year. O The exponential prediction is more than a year off, but less than five years away. OThe exponential prediction is more than five years off.
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