Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Section 6.7
Variation and Problem Solving
Objectives:
• Solve problems involving direct variation
• Solve problems involving inverse variation
• Solve problems involving joint variation
• Solve problems involving combined variation
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Vocabulary:
Direct Variation:
Inverse Variation:
Joint Variation:
Combined Variation:
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Variation:
Write an equation to describe each variation. Use k for the constant of proportionality.
1. y varies directly as x
2. a varies inversely as b
3. y varies jointly as x and z
4. y varies inversely as x 2
5. y varies directly as x and inversely as the square of p
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Variation:
Write a phrase to describe each of the following equations for variations:
6.
7.
8.
9.
10.
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Direct Variation:
Suppose y varies directly as x. If y is 24 when x is 8, find the
constant of variation and the variation equation. What is y
when x is 12?
Step one:
Step two:
Step three:
Step four:
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Direct Variation:
Hooke's Law states that the distance a spring stretches isdirectly
proportional to the weight attached to the spring. A 30‐lbweight
attached to Mr. Fantastic's spring‐like arm stretches his arm 4.5 inches.
Find the distance his arm would stretch with a 45‐lb weight attached.
Step one:
Step two:
Step three:
Step four:
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Inverse Variation:
Suppose y varies inversely as the square of x. If y is 24 when x
is 2, find the constant of variation and the variation equation.
What is y when x is 15?
Step one:
Step two:
Step three:
Step four:
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
Joint Variation:
The number of Droids manufactured on an assembly line in the Death
Star varies jointly as the number of Storm Troopers working and the
time they work. If 200 Storm Troopers can produce 60 Droids in 2
hours, find how many Droids 240 Storm Troopers should be able to
make in 3 hours.
Step one:
Step two:
Step three:
Step four:
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Math 95 Section 6.7 Variation blank.notebook
February 25, 2015
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