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.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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