
Concept explainers
(a)
To calculate: To make a
(a)

Answer to Problem 7PPS
Thescatter plot and line of best fit is drawn for State A and State B
Explanation of Solution
Given information: Table showing the population of two states for several years
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Formula Used:
Line of Best fit is a straight line that best represents the data on scatter plot. Line of fit must pass through some of the points, none of the points or all the points
Calculation:
Data is given as
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Scatter plot and line of best fit for State A is
Scatter plot and line of best fit for State B is
Slope of each line represents the rate of increase in population
Conclusion:
Hence, scatter plot and line of best fit is drawn for State A and State B
(b)
To calculate: To find which state’s population appear to be growing at faster rate. If two lines intersect, what does the point of intersection represent
(b)

Answer to Problem 7PPS
State A’s population appear to be growing at faster rate
Explanation of Solution
Given information: Table showing the population of two states for several years
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Formula Used:
Line of Best fit is a straight line that best represents the data on scatter plot. Line of fit must pass through some of the points, none of the points or all the points
Calculation:
Data is given as
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
From the above data, population of state A is growing at faster rate.
The point of intersection of the two lines represent the year when the population of State A and State B was same.
Slope of each line represents the rate of increase in population
Conclusion:
Hence, State A’s population appear to be growing at faster rate
(c)
To calculate: To write an equation for each line of fit
(c)

Answer to Problem 7PPS
Equation of line of fit for State A is
Equation of line of fit for State B is
Explanation of Solution
Given information: Table showing the population of two states for several years
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Formula Used:
Equation of line passing through two points is given as
Slope intercept of line is given as
Where,
Calculation:
Data is given as
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Consider State A
Point on line are as follows:
Equation of line passing through above points is
Consider State B
Point on line are as follows:
Equation of line passing through above points is
Conclusion:
Hence,
Equation of line of fit for State A is
Equation of line of fit for State B is
(d)
To calculate: To estimate the population of both states in year 16
(d)

Answer to Problem 7PPS
Population of State A in year 16 is
Population of State B in year 16 is
Explanation of Solution
Given information: Table showing the population of two states for several years
Year | Population (millions) | |
State A | State B | |
1 | 12.4 | 12.3 |
2 | 12.5 | 12.3 |
3 | 12.6 | 12.3 |
4 | 12.7 | 12.4 |
5 | 12.7 | 12.4 |
6 | 12.8 | 12.4 |
Formula Used:
Equation of line passing through two points is given as
Slope intercept of line is given as
Where,
Calculation:
Equation of line of fit for State A is given as
In order to find population of State A in year 16, substitute
Equation of line of fit for State B is given as follows:
In order to find population of State B in year 16, substitute
Conclusion:
Hence,
Population of State A in year 16 is
Population of State B in year 16 is
Chapter 8 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Pre-Algebra Student Edition
A First Course in Probability (10th Edition)
Basic Business Statistics, Student Value Edition
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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