following table gives the percent of the US population living in urban areas as a function of year.1 Year 1800 1830 1860 1890 1920 Percent 6.0 9.0 19.8 35.1 51.2 Year 1950 1980 1

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
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The following table gives the percent of the US population living in urban areas as a function of year.1


Year 1800 1830 1860 1890 1920
Percent 6.0 9.0 19.8 35.1 51.2
Year 1950 1980 1990 2000 2005
Percent 64.0 73.7 75.2 79.0 79.0

 

 

a) Find the average rate of change of the percent of the population living in urban areas between 1800 and 1950.

Round your answer to three decimal places.

The average rate of change is  ?    percent/year.


(b) Estimate the rate at which this percent is increasing at the year 1990.

Round your answer to three decimal places.

The rate of increase at the year 1990 is  ?    percent/year.


(c) Estimate the rate of change of this function for the year 1830.

Round your answer to three decimal places.

The rate of change in the year 1830 is   ?  percent/year.

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