a. Explanation Definition used: Slope: If ( x 1 , y 1 ) and ( x 2 , y 2 ) are any two points on the line then the slope of the line is m = y 2 − y 1 x 2 − x 1 . Point- slope form of the equation of a line: The equation of the line with slope m that passes through a point ( x 1 , y 1 ) is y − y 1 = m ( x − x 1 ) . Calculation: Let t denote year at the beginning of the decade and g ( t ) denote the average number of men in the workspace during the decade. Consider the points ( 1950 , 43.8 ) and ( 2050 , 100.3 ) . Substitute t 1 = 1950 , g 1 = 43.8 t 2 = 2050 and g 2 = 100.3 in m = g 2 − g 1 t 2 − t 1 b. To determine To check: Whether the line appear to be a reasonable fit to the data points or not. c. To determine To compare: The slope of the line and the average rate of change in the function during the period 1950 to 2050.

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 1.4, Problem 57E

To determine

To find: The equation of the line connecting the points (1950,43.8) and (2050,100.3).

To determine

To check: Whether the line appear to be a reasonable fit to the data points or not.

To determine

To compare: The slope of the line and the average rate of change in the function during the period 1950 to 2050.

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Chapter 1.4, Problem 56E

Chapter 1.4, Problem 58E

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Chapter 1 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 1.1 - Use the tables below in Exercises 16. 1.Table A...Ch. 1.1 - Use the tables below in Exercises 16. 2.Table B...Ch. 1.1 - Use the tables below in Exercises 16. 3.Use Table...Ch. 1.1 - Use the tables below in Exercises 16. 4.Use Table...Ch. 1.1 - Use the tables below in Exercises 16. 5.Does Table...Ch. 1.1 - Use the tables below in Exercises 16. 6.Does Table...Ch. 1.1 - For each of the functions y = f(x) described...Ch. 1.1 - For each of the functions y = f(x) described...Ch. 1.1 - In Exercises 9 and 10, refer to the graph of the...Ch. 1.1 - Prob. 10E

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The equation of the line connecting the points ( 1950 , 43.8 ) and ( 2050 , 100.3 ) .

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To find: The equation of the line connecting the points (1950,43.8) and (2050,100.3).

To check: Whether the line appear to be a reasonable fit to the data points or not.

To compare: The slope of the line and the average rate of change in the function during the period 1950 to 2050.

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Chapter 1 Solutions