Direct variation
This presentation is the property of its rightful owner.
Sponsored Links
1 / 35

Direct Variation PowerPoint PPT Presentation


  • 42 Views
  • Uploaded on
  • Presentation posted in: General

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:

Download Presentation

Direct Variation

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Direct variation

Direct Variation


Direct variation1

Direct Variation


Direct variation2

Direct Variation

  • When one thing gets larger, the other gets larger.


Direct variation3

Direct Variation

  • When one thing gets larger, the other gets larger.

  • For Example:


Direct variation4

Direct Variation

  • When one thing gets larger, the other gets larger.

  • For Example:

    • The more food Ando eats, the more weight he gains.


Direct variation5

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 variation6

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 variation7

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 variation8

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 variation9

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 variation10

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 variation11

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 variation12

Direct Variation

  • Write a direct variation equation for the following:


Direct variation13

Direct Variation

  • Write a direct variation equation for the following:

    • The cost of postage has a constant price of 30 cents per ounce.


Direct variation14

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 variation15

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 variation16

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 variation17

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 variation18

Direct Variation:

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


Direct variation19

Direct Variation:

  • Manipulating equations:


Direct variation20

Direct Variation:

  • Manipulating equations:

    • Show me two other ways to write the equation

      y = kx


Direct variation21

Direct Variation

  • Using the information given:


Direct variation22

Direct Variation

  • Using the information given:

    • Write a direct variation equation that includes the given point:


Direct variation23

Direct Variation

  • Using the information given:

    • Write a direct variation equation that includes the given point:

    • (1,5)


Direct variation24

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 variation25

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 variation26

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 variation27

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 variation28

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 variation29

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 variation30

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 variation31

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 = 5x


Direct variation32

Direct Variation

  • How else could we have solved for k?


Direct variation33

Direct Variation

  • How else could we have solved for k?

  • Write an equation of direct variation that includes the given point:


Direct variation34

Direct Variation

  • How else could we have solved for k?

  • Write an equation of direct variation that includes the given point:

  • (6,3)


  • Login