Graphs, Slopes, Inequalities and Applications

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Section 7.1
Graphs, Slopes, Inequalities and Applications
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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DEFINITION
Point-slope form
The point-slope form of the equation of the line
going through ( ), and having slope m is
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DEFINITION
Slope-intercept form
The slope-intercept form of the equation of the
line having slope m and y-intercept b is
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PROCEDURE
Finding the Equation of a Line
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PROCEDURE
Finding the Equation of a Line
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PROCEDURE
Finding the Equation of a Line
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PROCEDURE
Finding the Equation of a Line
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NOTE
The Resulting Equation Can Always Be Written as
Ax By C
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Section 7.1Exercise 1
Chapter Graphs, Slopes, Inequalities and
Applications
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Section 7.1Exercise 2
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.1Exercise 3
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.2
Graphs, Slopes, Inequalities and Applications
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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Section 7.2Exercise 4
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Long-distance rates for m minutes are 10 plus
0.20 for each minute. If a 10-minute call costs
12, write an equation for the total cost C and
find the cost of a 15-minute call.
Step 1 Read the problem.
Step 2 Select the unknown.
Step 3 Translate.
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Long-distance rates for m minutes are 10 plus
0.20 for each minute. If a 10-minute call costs
12, write an equation for the total cost C and
find the cost of a 15-minute call.
Step 4 Use Algebra to find the cost C of an m
15 minute call.
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Section 7.2Exercise 5
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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A cell phone plan costs 40 per month with 500
free minutes and 0.50 for each additional
minute. Find an equation for the total cost C of
the plan when m minutes are used after the first
500. What is the cost when 800 total minutes are
used?
Step 1 Read the problem.
Step 2 Select the unknown.
Step 3 Translate.
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A cell phone plan costs 40 per month with 500
free minutes and 0.50 for each additional
minute. Find an equation for the total cost C of
the plan when m minutes are used after the first
500. What is the cost when 800 total minutes are
used?
Step 4 Use Algebra to find the cost C when 800
minutes are used.
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A cell phone plan costs 40 per month with 500
free minutes and 0.50 for each additional
minute. Find an equation for the total cost C of
the plan when m minutes are used after the first
500. What is the cost when 800 total minutes are
used?
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Section 7.3
Graphs, Slopes, Inequalities and Applications
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OBJECTIVES
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PROCEDURE
Graphing a Linear Inequality
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PROCEDURE
Graphing a Linear Inequality
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PROCEDURE
Graphing a Linear Inequality
Use any point (a, b) as a test point.
Substitute the values of a and b for x and y in
the inequality.
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PROCEDURE
Graphing a Linear Inequality
If a true statement results, shade the side of
the line containing the test point.
If a false statement results, shade the other
side.
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Section 7.3Exercise 7
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.3Exercise 8
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.3Exercise 9
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.3Exercise 10
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Section 7.3Exercise 12
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Step 1 Read the problem.
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Step 2 Select the unknown.
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Step 3 Translate.
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Step 4 Use Algebra
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Section 7.4
Graphs, Slopes, Inequalities and Applications
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OBJECTIVES
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OBJECTIVES
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OBJECTIVES
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DEFINITION
y varies directly as x if
There is a constant k such that y kx
k is the constant of variation or proportionality.
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Section 7.4Exercise 11
Chapter 7 Graphs, Slopes, Inequalities and
Applications
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Step 1 Read the problem.
Step 2 Select the unknown.
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Step 3 Translate.
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Step 4 Use Algebra