Direct Variation

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DIRECT VARIATION

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Direct Variation. Direct Variation. Direct Variation. When one thing gets larger, the other gets larger. Direct Variation. When one thing gets larger, the other gets larger. For Example:. Direct Variation. When one thing gets larger, the other gets larger. For Example: - PowerPoint PPT Presentation

Transcript of Direct Variation

Page 1: Direct Variation

DIRECT VARIATION

Page 2: Direct Variation

DIRECT VARIATION

Page 3: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

Page 4: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example:

Page 5: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains.

Page 6: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up.

Page 7: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

Page 8: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

W is Ando’s weight.

Page 9: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

W is Ando’s weight. E is the amount Ando eats.

Page 10: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

W is Ando’s weight. E is the amount Ando eats. K is ALWAYS the constant amount that he gains.

Page 11: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

W is Ando’s weight. E is the amount Ando eats. K is ALWAYS the constant amount that he gains. K is called the “constant of variation”.

Page 12: Direct Variation

DIRECT VARIATION

When one thing gets larger, the other gets larger.

For Example: The more food Ando eats, the more weight he

gains. When the amount of food Ando eats goes up, the

amount of weight he gains goes up. As an equation it would look like this:

W is Ando’s weight. E is the amount Ando eats. K is ALWAYS the constant amount that he gains. K is called the “constant of variation”. W = KE

Page 13: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following:

Page 14: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following: The cost of postage has a constant price of 30

cents per ounce.

Page 15: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following: The cost of postage has a constant price of 30

cents per ounce. The distance traveled has a constant speed of 30

miles per hour.

Page 16: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following: The cost of postage has a constant price of 30

cents per ounce. The distance traveled has a constant speed of 30

miles per hour. The points scored has a constant amount of 6

per touchdown.

Page 17: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following: The cost of postage has a constant price of 30

cents per ounce. The distance traveled has a constant speed of 30

miles per hour. The points scored has a constant amount of 6

per touchdown. What is the DEPENDENT and INDEPENDENT

variable in each equation?

Page 18: Direct Variation

DIRECT VARIATION

Write a direct variation equation for the following: The cost of postage has a constant price of 30

cents per ounce. The distance traveled has a constant speed of 30

miles per hour. The points scored has a constant amount of 6

per touchdown. What is the DEPENDENT and INDEPENDENT

variable in each equation? What variable represents dependent and

what variable represents independent in general?

Page 19: Direct Variation

DIRECT VARIATION:

What sort of standard equation rule can you make for direct variations?

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DIRECT VARIATION:

Manipulating equations:

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DIRECT VARIATION:

Manipulating equations: Show me two other ways to write the equation y = kx

Page 22: Direct Variation

DIRECT VARIATION

Using the information given:

Page 23: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

Page 24: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)

Page 25: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kx

Page 26: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:

Page 27: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)

Page 28: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)Solve for k.

Page 29: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)Solve for k.k(1) = 5

Page 30: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)Solve for k.k(1) = 5k = 5/1

Page 31: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes

the given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)Solve for k.k(1) = 5k = 5/1 k = 5

Page 32: Direct Variation

DIRECT VARIATION

Using the information given: Write a direct variation equation that includes the

given point:

(1,5)The general equation is y = kxPut in the information you know:5 = k(1)Solve for k.k(1) = 5k = 5/1 k = 5 y =

5x

Page 33: Direct Variation

DIRECT VARIATION

How else could we have solved for k?

Page 34: Direct Variation

DIRECT VARIATION

How else could we have solved for k? Write an equation of direct variation that

includes the given point:

Page 35: Direct Variation

DIRECT VARIATION

How else could we have solved for k? Write an equation of direct variation that

includes the given point: (6,3)


1.10 Variation. Objective Write mathematical models for direct variation, direct variation as an nth power, inverse variation, and joint variation.

1.10 Variation. Objective Write mathematical models for direct variation, direct variation as an nth power, inverse variation, and joint variation.

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Direct Inverse Variation Problems.

45 Direct Variation - Bainbridge Island School District€¦ · 45 Direct Variation 1. Identify, write, and graph direct variation. Chefs can use direct variation to determine ingredients

45 Direct Variation - Bainbridge Island School District€¦ · 45 Direct Variation 1. Identify, write, and graph direct variation. Chefs can use direct variation to determine ingredients

Test Review: Direct Variation. Rewrite the direct variation equation, y = kx, in terms of “k.” In other words, k = _________. Test Review: Direct Variation.

Test Review: Direct Variation. Rewrite the direct variation equation, y = kx, in terms of “k.” In other words, k = _________. Test Review: Direct Variation.

Section 2.8 Modeling Using Variation. Direct Variation.

Section 2.8 Modeling Using Variation. Direct Variation.

Section 3.2 : Direct Variation · 2019-10-13 · Section 3.2 : Direct Variation Learning Targets: A.CED.2 Important Terms and Definitions Direct Variation: a relationship between

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Direct Variation, Parallel Lines, & Word Problems.gwb - 1/12 ...marysnode.weebly.com/uploads/1/3/2/0/13205917/direct...Direct Variation Notes Direct Variation: when the value of two

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Rational Functions * Inverse/Direct. Direct Variation What you’ll learn … To write and interpret direct variation equations.

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92 direct and inverse variation graphs - kenstonlocal.org · 92 direct and inverse variation graphs Objectives: • To graph direct variation. • To graph inverse variation. •

92 direct and inverse variation graphs - kenstonlocal.org · 92 direct and inverse variation graphs Objectives: • To graph direct variation. • To graph inverse variation. •

Main Idea/Vocabulary direct variation constant of variation Use direct variation to solve problems.

Main Idea/Vocabulary direct variation constant of variation Use direct variation to solve problems.

2.2 Direct Variation

2.2 Direct Variation

DIRECT VARIATION TO WRITE AND GRAPH AN EQUATION OF A DIRECT VARIATION.

DIRECT VARIATION TO WRITE AND GRAPH AN EQUATION OF A DIRECT VARIATION.

direct variationinverse variation constant of variationjoint variation combined variation

direct variationinverse variation constant of variationjoint variation combined variation

direct variation constant of variation joint variation · •joint variation •inverse variation •combined variation. Direct Variation If y varies directly as x and y = ...

direct variation constant of variation joint variation · •joint variation •inverse variation •combined variation. Direct Variation If y varies directly as x and y = ...

6•9 Direct Variation - PC\|MACimages.pcmac.org/.../Uploads/Forms/Direct_Variation.pdfDirect Variation 307Determining Direct Variation Determine whether the linear function is a direct

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5.3 Direct Variation C

5.3 Direct Variation C

9.1 Inverse Variation & 2.3 Direct Variation

9.1 Inverse Variation & 2.3 Direct Variation

16-May-15Created by Mr. Lafferty Maths Dept. Direct Proportion Direct Variation Harder Direct Variation (extension) Direct Proportion.

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Direct Variation Learn the properties of a direct variation equation Graph a direct variation equation Read a direct variation graph to find missing values.

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