Direct variation.

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Presentation transcript:

Direct variation

Pass out flat foldable

We will be looking to see if there is a direct relationship in different sets of data. If the constant of proportionality (now called constant of variation) is the same for all data given, the data is related through a direct variation.

The graph of a direct variation always passes through the origin; therefore, represents a proportional relationship.

Direct variation can be written y = kx

Constant of proportionality constant of variation same thing Can be written 𝑦 𝑥 = k

Watch this video on direct variation https://my.hrw.com/content/hmof/math/common/tools/videoplayer/index.html?conte ntSrc=13192/13192.xml

Determine whether the data set showS direct variation Determine whether the data set showS direct variation. If so, write an equation that describes the relationship. Use 𝑦 𝑥 = k

Determine whether the data set showS direct variation Determine whether the data set showS direct variation. If so, write an equation that describes the relationship. Use 𝑦 𝑥 = k

Determine whether the data set showS direct variation Determine whether the data set showS direct variation. If so, write an equation that describes the relationship. Use 𝑦 𝑥 = k YOU TRY THIS ONE 

Determine whether the data set show direct variation Determine whether the data set show direct variation. If so, write an equation that describes the relationship. Use 𝑦 𝑥 = k YOU TRY THIS ONE 

1—Make table labeled x y 2—Find the constant of variation 3—Write a direct variation equation 4—Use equation to find how many pounds in 152 ounces.

1—Make table labeled x y 2—Find the constant of variation 3—Write a direct variation equation 4—Use equation to find how many pounds in 152 ounces.