High School Math 2011 Algebra 1 Student Companion Grade 8/9
High School Math 2011 Algebra 1 Student Companion Grade 8/9
11th Edition
ISBN: 9780133688924
Author: Prentice Hall
Publisher: PEARSON
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Chapter 5.1, Problem 1LC
To determine

To examine: the rate of change changes with respect to the number of pencils bought.

Expert Solution & Answer
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Answer to Problem 1LC

It can be concluded that the rate of change of cost is constant with respect to the number of pencils bought

Explanation of Solution

Given Information:

The table is given with the following data.

Solution:

    Cost of Pencils
    Number of pencils14712
    Cost $0.2511.753

Consider the points A(x1,y1)=(1,0.25)

  B(x2,y2)=(4,1)

  C(x3,y3)=(7,1.75)

  D(x4,y4)=(12,3)

To find the rate of change find the slope as following.

Formula used: The slope between the points (x1,y1) and (x2,y2) is calculated as follows.

  m=y2−y1x2−x1

Calculations:

To calculate the slope between the points A(x1,y1)=(1,0.25) and B(x2,y2)=(4,1) proceed as follows

  m1=1−0.254−1=0.753=0.25

The slope between the points A(x1,y1)=(1,0.25) and B(x2,y2)=(4,1) is 0.25 .

To calculate the slope between the points B(x2,y2)=(4,1) and C(x3,y3)=(7,1.75) proceed as follows.

  m2=1.75−17−4=0.753=0.25

The slope between the points B(x2,y2)=(4,1) and C(x3,y3)=(7,1.75) is 0.25

To calculate the slope between the points C(x3,y3)=(7,1.75) and D(x4,y4)=(12,3) proceed as follows:

  m3=3−1.7512−7=1.255=0.25

The slope between the points C(x3,y3)=(7,1.75) and D(x4,y4)=(12,3) is 0.25

Interpretation:

The slope is same in for all the three set of points. The rate of change of cost is remains same with the rate of change of pencils. Therefore, it can be concluded that the rate of change of cost is constant with respect to the number of pencils bought. The rate of change in cost of the pencils is 0.25 .

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Chapter 5.1, Problem 4P
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Chapter 5.1, Problem 2LC

Chapter 5 Solutions

High School Math 2011 Algebra 1 Student Companion Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
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