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Year 1900 1920 1940 1960 1980 Population 3.1 4.6 6.4 9.5 14.2 1. The table to the left shows the year and population (in millions) of Texas. Using an exponential model, write an equation for the curve of best fit, then estimate the population of Texas in 2020.

Year 1900 1920 1940 1960 1980 Population 3.1 4.6 6.4 9.5 14.2 1. The table to the left shows the year and population (in millions) of Texas. Using an exponential model, write an equation for the curve of best fit, then estimate the population of Texas in 2020.

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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Main Ideas/Questions Notes/Examples 1. The table to the left shows the year and population (in millions) of Texas. Using an exponential model, write an equation for the curve of best fit, then estimate the population of Texas in 2020. Year Population 1900 3.1 1920 4.6 1940 6.4 1960 9.5 1980 14.2 2. The table to the left shows the closing prices for the NASDAQ Stock Index at the end of February during certain years. Using an exponential model, write an equation for the curve of best fit, then estimate the year the closing price will reach $10,000. Closing Price ($) Year 1992 633 1994 793 1996 1,100 1998 1,771 2000 4,696 3. The table to the left gives the percent of all workers who are female during selected years from 1970 to 2006. Using a logarithmic model, write an equation for the curve of best fit, then estimate the percent of female workers in in 2016. Year Population 1970 30.0 1980 35.3 1985 37.9 1990 37.2 2006 41.5 4. The table to the left shows the height (in feet) of a pine tree in the park. When it was originally planted, it was one year old and had a height of 4 feet. Using a logarithmic model, write an equation for the curve of best fit, then determine the age of the tree at 20 feet. Age Height 1 4 2 6.3 7.9 4 9.2 10.3 3.
Transcribed Image Text:Main Ideas/Questions Notes/Examples 1. The table to the left shows the year and population (in millions) of Texas. Using an exponential model, write an equation for the curve of best fit, then estimate the population of Texas in 2020. Year Population 1900 3.1 1920 4.6 1940 6.4 1960 9.5 1980 14.2 2. The table to the left shows the closing prices for the NASDAQ Stock Index at the end of February during certain years. Using an exponential model, write an equation for the curve of best fit, then estimate the year the closing price will reach $10,000. Closing Price ($) Year 1992 633 1994 793 1996 1,100 1998 1,771 2000 4,696 3. The table to the left gives the percent of all workers who are female during selected years from 1970 to 2006. Using a logarithmic model, write an equation for the curve of best fit, then estimate the percent of female workers in in 2016. Year Population 1970 30.0 1980 35.3 1985 37.9 1990 37.2 2006 41.5 4. The table to the left shows the height (in feet) of a pine tree in the park. When it was originally planted, it was one year old and had a height of 4 feet. Using a logarithmic model, write an equation for the curve of best fit, then determine the age of the tree at 20 feet. Age Height 1 4 2 6.3 7.9 4 9.2 10.3 3.
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