Concept explainers
(a)
The slope-intercept form equation for the equation of the line of fit with the help of the following graph:
(a)
Answer to Problem 2CYU
The final slope intercept form equation is derived as y=0.4x+0.8
Explanation of Solution
Given:
Concept Used:
The slope intercept form equation is
y=mx + b
Where;
Slope: m
Y-intercept: (0,b)
Calculation:
Consider,
Year: x
Sales: y
There are two points are given in the graph:
A=(x1,y1)=(4,2.4)B=(x2,y2)=(5,2.8)
Now use any two points to calculate the slope intercept from equation:
m=y2−y1x2−x1=2.8−2.45−4=0.41=0.4
Now, the slope intercept form equation is written as:
y=mx + by=0.4x+b
Now put the value of (x1,y1)=(4,2.4) in the above eq. to get the Y-intercept:
y=mx + b2.4=0.4(4)+bb=2.4−1.6b=0.8
So, the final slope intercept form equation is:
y=mx + by=0.4x+0.8
Conclusion:
Hence, slope-intercept form is derived with the help of the line of fit.
(b)
The number of sales of books in the year 16 with line of fit equation from the first subpart
(b)
Answer to Problem 2CYU
There are 7.2 sales books for year 16
Explanation of Solution
Given:
x=16
Concept Used:
The slope intercept form equation is
y=mx + b
Where;
Slope: m
Y-intercept: (0,b)
Calculation:
From the first subpart:
The final slope intercept form equation is derived as:
y=mx + by=0.4x+0.8
Now, to calculate the number of books sales y , need to put x=16 in above eq.
y=mx + by=0.4(16)+0.8y=6.4+0.8y=7.2
So, for the year x=16 , there are y=7.2 sales for books.
Conclusion:
Hence, sales books in the year x=16 is y=7.2 .
Chapter 8 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
College Algebra (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
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