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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 8000 4601 4350 3945 2365 1482 t 0 10 20 30 40 P(t) 8000 4601 4350 3945 2365 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. In 50 1482 P(t) Based on the your regression model, what is the percent decrease per year? Find P(25). Round your answer to the nearest whole number. P(25)= Interpret your answer by completing the following sentence. Be sure to use units in your answer. "The population of Lehi How long did it take for the population of Lehi to reach 440 people? Round your answer to the nearest whole number. P(t) = 440 when t = Interpret your answer by completing the following sentence. Be sure to use units in your answer. after 1880, the population of Lehi was about In after 1880 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.

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 8000 4601 4350 3945 2365 1482 t 0 10 20 30 40 P(t) 8000 4601 4350 3945 2365 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. In 50 1482 P(t) Based on the your regression model, what is the percent decrease per year? Find P(25). Round your answer to the nearest whole number. P(25)= Interpret your answer by completing the following sentence. Be sure to use units in your answer. "The population of Lehi How long did it take for the population of Lehi to reach 440 people? Round your answer to the nearest whole number. P(t) = 440 when t = Interpret your answer by completing the following sentence. Be sure to use units in your answer. after 1880, the population of Lehi was about In after 1880 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.

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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The table below shows the population of a fictional California Gold Rush Town named Lehi in the years after its peak population in 1880. Year 1880 1890 1900 1910 1920 1930 Population 8000 4601 4350 3945 2365 1482 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: t P(t) 0 10 20 8000 4601 4350 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. 50 30 40 3945 2365 1482 P(t) Based on the your regression model, what is the percent decrease per year? 198 Find P(25). Round your answer to the nearest whole number. P(25) = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In "The population of Lehi How long did it take for the population of Lehi to reach 440 people? Round your answer to the nearest whole number. P(t) = 440 when t = after 1880 was about Interpret your answer by completing the following sentence. Be sure to use units in your answer. 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:The table below shows the population of a fictional California Gold Rush Town named Lehi in the years after its peak population in 1880. Year 1880 1890 1900 1910 1920 1930 Population 8000 4601 4350 3945 2365 1482 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: t P(t) 0 10 20 8000 4601 4350 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. 50 30 40 3945 2365 1482 P(t) Based on the your regression model, what is the percent decrease per year? 198 Find P(25). Round your answer to the nearest whole number. P(25) = Interpret your answer by completing the following sentence. Be sure to use units in your answer. In "The population of Lehi How long did it take for the population of Lehi to reach 440 people? Round your answer to the nearest whole number. P(t) = 440 when t = after 1880 was about Interpret your answer by completing the following sentence. Be sure to use units in your answer. 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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