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# Direct Variation - PowerPoint PPT Presentation

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:

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## PowerPoint Slideshow about 'Direct Variation' - abedi

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### Direct Variation

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

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

• For Example:

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

• For Example:

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

• 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.

• 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:

• 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.

• 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.

• 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.

• 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”.

• 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

• Write a direct variation equation for the following:

• Write a direct variation equation for the following:

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

• 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.

• 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.

• 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?

• 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?

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

• Manipulating equations:

• Manipulating equations:

• Show me two other ways to write the equation

y = kx

• Using the information given:

• Using the information given:

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

• Using the information given:

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

• (1,5)

• Using the information given:

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

• (1,5)

• The general equation is y = kx

• 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:

• 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)

• 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.

• 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

• 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

• 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

• 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

• How else could we have solved for k?

• How else could we have solved for k?

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

• How else could we have solved for k?

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

• (6,3)