The percentage of people in the United States who are immigrants (that is, were born elsewhere) for different decades is shown below. 15- 12 9. 6- 3- 1930 1940 1950 1960 1970 1980 1990 2000 2010 Year These percentages are approximated by the function f(x) = - 3.7x + 12, where x stands for the number of decades since 1930 (so that, for example, x = 5 would stand for 1980). (a) Find f'(x) using the definition of the derivative. F'(x) = (b) Evaluate the derivative at x = 5. F'x) = Interpret the result. During this decade, the percentage of immigrants was -Select-v by f'(x) percentage points per decade.

The percentage of people in the United States who are immigrants (that is, were born elsewhere) for different decades is shown below. 15- 12 9. 6- 3- 1930 1940 1950 1960 1970 1980 1990 2000 2010 Year These percentages are approximated by the function f(x) = - 3.7x + 12, where x stands for the number of decades since 1930 (so that, for example, x = 5 would stand for 1980). (a) Find f'(x) using the definition of the derivative. F'(x) = (b) Evaluate the derivative at x = 5. F'x) = Interpret the result. During this decade, the percentage of immigrants was -Select-v by f'(x) percentage points per decade.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

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