DIRECT VARIATION DIRECT VARIATION DIRECT VARIATION When one

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DIRECT VARIATION

DIRECT VARIATION

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.

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:

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The more food Ando eats, the more weight he gains.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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:

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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”.

DIRECT VARIATION When one thing gets larger, the other gets larger. For Example: The

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

DIRECT VARIATION Write a direct variation equation for the following:

DIRECT VARIATION Write a direct variation equation for the following:

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage has a constant price of 30 cents per ounce.

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage

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.

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage

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.

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage

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?

DIRECT VARIATION Write a direct variation equation for the following: The cost of postage

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?

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

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

DIRECT VARIATION: Manipulating equations:

DIRECT VARIATION: Manipulating equations:

DIRECT VARIATION: Manipulating equations: Show y = kx me two other ways to write

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

DIRECT VARIATION Using the information given:

DIRECT VARIATION Using the information given:

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

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

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5)

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know:

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1)

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1) Solve for k.

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1) Solve for k. k(1) = 5

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1) Solve for k. k(1) = 5 k = 5/1

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1) Solve for k. k(1) = 5 k = 5/1 k=5

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

DIRECT VARIATION Using the information given: Write a direct variation equation that includes the given point: (1, 5) The general equation is y = kx Put in the information you know: 5 = k(1) Solve for k. k(1) = 5 k = 5/1 k=5 y = 5 x

DIRECT VARIATION How else could we have solved for k?

DIRECT VARIATION How else could we have solved for k?

DIRECT VARIATION How else could we have solved for k? Write an equation of

DIRECT VARIATION How else could we have solved for k? Write an equation of direct variation that includes the given point:

DIRECT VARIATION How else could we have solved for k? Write an equation of

DIRECT VARIATION How else could we have solved for k? Write an equation of direct variation that includes the given point: (6, 3)

5 5 Direct Variation Vocabulary direct variation constant5 5 Direct Variation Vocabulary direct variation constant
Direct Inverse and Joint Variation Direct Variation yDirect Inverse and Joint Variation Direct Variation y
Direct Variation Direct Variation A function of theDirect Variation Direct Variation A function of the
Chapter 3 6 Variation Direct Variation When oneChapter 3 6 Variation Direct Variation When one
Sources of Variation What is variation Variation refersSources of Variation What is variation Variation refers
LANGUAGE VARIATION Social Variation and Regional Variation SociolinguisticsLANGUAGE VARIATION Social Variation and Regional Variation Sociolinguistics
Variation What is variation Variation Lab Day 1Variation What is variation Variation Lab Day 1
ONE FORD ONE TEAM ONE PLAN ONE GOALONE FORD ONE TEAM ONE PLAN ONE GOAL
One Spirit One Mind One Faith One ActionOne Spirit One Mind One Faith One Action
8 1 Variation Functions Vocabulary direct variation joint8 1 Variation Functions Vocabulary direct variation joint
8 1 Variation Functions Vocabulary direct variation constant8 1 Variation Functions Vocabulary direct variation constant
Types of Variation Direct Variation y varies directlyTypes of Variation Direct Variation y varies directly
8 4 Variation and Problem Solving Direct Variation8 4 Variation and Problem Solving Direct Variation
Section 2 8 Modeling Using Variation Direct VariationSection 2 8 Modeling Using Variation Direct Variation
8 1 Inverse Variation 2 2 Direct Variation8 1 Inverse Variation 2 2 Direct Variation
Direct and Inverse Variations Direct Variation Which ofDirect and Inverse Variations Direct Variation Which of
4 5 Direct Variation 4 5 Direct Warm4 5 Direct Variation 4 5 Direct Warm
Direct and Inverse Variations Direct Variation When weDirect and Inverse Variations Direct Variation When we
4 5 Direct Variation 4 5 Direct Warm4 5 Direct Variation 4 5 Direct Warm
Direct vs Indirect Characterization Direct Characterization n directDirect vs Indirect Characterization Direct Characterization n direct
Direct Object Pronouns Direct Object Pronouns A directDirect Object Pronouns Direct Object Pronouns A direct
Direct Object Pronouns Direct Object Pronouns The directDirect Object Pronouns Direct Object Pronouns The direct
DIRECT MARKETING ADVERTISINGII Direct Marketing Direct marketing isDIRECT MARKETING ADVERTISINGII Direct Marketing Direct marketing is
UNITSINGLE OUTPUT COSTING DIRECT MATERIAL DIRECT LABOUR DIRECTUNITSINGLE OUTPUT COSTING DIRECT MATERIAL DIRECT LABOUR DIRECT
DIRECT CARECASH ONLY DIRECT PRIMARY CARE Direct PrimaryDIRECT CARECASH ONLY DIRECT PRIMARY CARE Direct Primary
Direct X Direct X 10 Windows Vista DirectDirect X Direct X 10 Windows Vista Direct
Direct EMarketing Postal Direct Mail Electronic Direct MailDirect EMarketing Postal Direct Mail Electronic Direct Mail
DIRECT INDIRECT SPEECH IMPERATIVES DIRECT SPEECH Direct speechDIRECT INDIRECT SPEECH IMPERATIVES DIRECT SPEECH Direct speech
Europe Direct network Europe Direct Network Europe DirectEurope Direct network Europe Direct Network Europe Direct
Direct Object Pronouns Direct Object Pronouns The directDirect Object Pronouns Direct Object Pronouns The direct
Direct X GDI Direct X GDI Direct XDirect X GDI Direct X GDI Direct X
Lesson One Direct ColdWater System Direct ColdWater SystemLesson One Direct ColdWater System Direct ColdWater System
One to One Trade Promotion Direct Marketing andOne to One Trade Promotion Direct Marketing and
Admissions One Application One Fee One Decision BruceAdmissions One Application One Fee One Decision Bruce
March 2 2014 One sector one target oneMarch 2 2014 One sector one target one
Vudyptomn programovn one to one sms one toVudyptomn programovn one to one sms one to
MIDAYNTA COMMUNITY SERVICES ONE PEOPLE ONE VOICE ONEMIDAYNTA COMMUNITY SERVICES ONE PEOPLE ONE VOICE ONE
ONE NO ONE AND ONE HUNDRED THOUSAND KILOMETRESONE NO ONE AND ONE HUNDRED THOUSAND KILOMETRES
Unit One Day One Day one Quiz onUnit One Day One Day one Quiz on
Zero starts with one One plus one equalsZero starts with one One plus one equals