Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Section 6.7Variation and Problem Solving

Objectives:

• Solve problems involving direct variation

• Solve problems involving inverse variation

• Solve problems involving joint variation

• Solve problems involving combined variation

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Vocabulary: Direct Variation:

Inverse Variation:

Joint Variation:

Combined Variation:

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

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

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Variation: Write a phrase to describe each of the following equations for variations:

6.

7.

8.

9.

10.

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Direct Variation:

Step one:

Step two:

Step three:

Step four:

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?

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Direct Variation:

Step one:

Step two:

Step three:

Step four:

Hooke's Law states that the distance a spring stretches is directly proportional to the weight attached to the spring. A 30‐lb weight 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.

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Inverse Variation:

Step one:

Step two:

Step three:

Step four:

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?

Math 95 Section 6.7 Variation blank.notebook

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March 01, 2017

Joint Variation:

Step one:

Step two:

Step three:

Step four:

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.