(a) Explanation Given: Graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010. Formula used: Slope of the line between two points is given by: m = ( y 2 − y 1 ) ( x 2 − x 1 ) Calculation: Let the function that models the number of inmates y , in thousands, for drug offence, x years after 1998 be represented by linear function y = m x + c where m is slope and c is the intercept. Take two points ( 2010 , 94 ) and ( 1998 , 60 ) to obtain the slope as follows: m = ( y 2 − y 1 ) </ (b) To determine To calculate: The function that models the number of inmates y , in thousands, for other crimes, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010. (c) To determine To calculate: The year during which the number of federal inmates for drug offence and for other crimes was same where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

6th Edition

ISBN: 9780134463216

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.1, Problem 70E

(a)

To determine

To calculate: The function that models the number of inmates y, in thousands, for drug offence, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

(b)

To determine

To calculate: The function that models the number of inmates y, in thousands, for other crimes, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

(c)

To determine

To calculate: The year during which the number of federal inmates for drug offence and for other crimes was same where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

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Chapter 8.1, Problem 69E

Chapter 8.1, Problem 71E

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Chapter 8 Solutions

Algebra and Trigonometry (6th Edition)

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The function that models the number of inmates y , in thousands, for drug offence, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

Solution Summary: The author calculates the function that models the number of inmates y, in thousands, for drug offence, x years after 1998.

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To calculate: The function that models the number of inmates y, in thousands, for drug offence, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

To calculate: The function that models the number of inmates y, in thousands, for other crimes, x years after 1998 where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

To calculate: The year during which the number of federal inmates for drug offence and for other crimes was same where graphical representation shows the number of inmates in federal prison for drug offence and other offence from 1998 through 2010.

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Chapter 8 Solutions