(a) Explanation Given Information: The provided line graph shows increasing lottery sales in years t since 2000, Formula used: If a line is passing through two distinct points ( x 1 , y 1 ) and ( x 2 , y 2 ) , then its slope is given by, m = y 2 − y 1 x 2 − x 1 The equation of line with slope m can be written as below: y = m x + b It is called the slope-intercept equation. Here, slope is m and the y -intercept is ( 0 , b ) . Calculation: Consider the provided graph showing increasing lottery sales in years t since 2000, Now, as it can be observed that the line in the provided graph is passing through the points ( 12 , $ 68.8 ) and ( 0 , $ 35.0 ) . Now calculate the slope of line, m = y 2 − y 1 x 2 − x 1 Substitute ( 12 , $ 68.8 ) for ( x 2 , y 2 ) and ( 0 , $ 35 (b) To determine To calculate: The rate of change of lottery sales in billions of dollars with respect to time if the provided line graph shows increasing lottery sales in years t since2000, (c) To determine To calculate: The lottery sales in 2015 if the provided line graph shows increasing lottery sales in years t since 2000 if the equation of line is S = 2.81 t + 35 .

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Question

Chapter 9.4, Problem 39ES

(a)

To determine

To calculate: The equation of line if the provided line graph shows increasing lottery sales in years t since 2000 as below:

(b)

To determine

To calculate: The rate of change of lottery sales in billions of dollars with respect to time if the provided line graph shows increasing lottery sales in years t since2000,

(c)

To determine

To calculate: The lottery sales in 2015 if the provided line graph shows increasing lottery sales in years t since 2000 if the equation of line is S=2.81t+35.

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Chapter 9.4, Problem 38ES

Chapter 9.4, Problem 40ES

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Chapter 9 Solutions

Developmental Mathematics (9th Edition)

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Prob. 32UTDW Ch. 9.4 - Prob. 33UTDW Ch. 9.5 - 1. 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The equation of line if the provided line graph shows increasing lottery sales in years t since 2000 as below:

Solution Summary: The author calculates the equation of line if the provided graph shows increasing lottery sales in years t since 2000.

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To calculate: The equation of line if the provided line graph shows increasing lottery sales in years t since 2000 as below:

To calculate: The rate of change of lottery sales in billions of dollars with respect to time if the provided line graph shows increasing lottery sales in years t since2000,

To calculate: The lottery sales in 2015 if the provided line graph shows increasing lottery sales in years t since 2000 if the equation of line is S=2.81t+35.

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Chapter 9 Solutions