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For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=0 represents 1880). The new table is: 0 10 t 20 30 40 50 P(t) 8200 4252 3624 2963 1602 905 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. P(t) Based on the your regression model, what is the percent decrease per year? Find P(35). Round your answer to the nearest whole number.

For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=0 represents 1880). The new table is: 0 10 t 20 30 40 50 P(t) 8200 4252 3624 2963 1602 905 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. P(t) Based on the your regression model, what is the percent decrease per year? Find P(35). Round your answer to the nearest whole number.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exponential Regression The table below shows the population of a fictional California Gold Rush Town named Lehi in the years after its peak population in 1880. For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=0 represents 1880). The new table is: Year 1880 1890 1900 1910 1920 1930 Population 8200 4252 3624 2963 1602 905 t P(t) Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. 0 10 20 30 8200 4252 3624 2963 1602 P(t) Based on the your regression model, what is the percent decrease per year? 40 50 905 Find P(35). Round your answer to the nearest whole number. P(35) = In Interpret your answer by completing the following sentence. Be sure to use units in your answer. . "The population of Lehi after 1880 was about How long did it take for the population of Lehi to reach 470 people? Round your answer to the nearest whole number. P(t) = 470 when t = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In after 1880, the population of Lehi was about How long did it take for the population of Lehi to drop by half? Round your answer to the nearest whole number. P(t) has halved when t Interpret your answer by completing the following sentence. Be sure to use units in your answer. after 1880, the population of Lehi had dropped by about half.
Transcribed Image Text:Exponential Regression The table below shows the population of a fictional California Gold Rush Town named Lehi in the years after its peak population in 1880. For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=0 represents 1880). The new table is: Year 1880 1890 1900 1910 1920 1930 Population 8200 4252 3624 2963 1602 905 t P(t) Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to two decimals, and round the "b" value to three decimals. Use the indicated variables and proper function notation. 0 10 20 30 8200 4252 3624 2963 1602 P(t) Based on the your regression model, what is the percent decrease per year? 40 50 905 Find P(35). Round your answer to the nearest whole number. P(35) = In Interpret your answer by completing the following sentence. Be sure to use units in your answer. . "The population of Lehi after 1880 was about How long did it take for the population of Lehi to reach 470 people? Round your answer to the nearest whole number. P(t) = 470 when t = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In after 1880, the population of Lehi was about How long did it take for the population of Lehi to drop by half? Round your answer to the nearest whole number. P(t) has halved when t Interpret your answer by completing the following sentence. Be sure to use units in your answer. after 1880, the population of Lehi had dropped by about half.
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