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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.

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 more food Ando eats, the more weight he gains.

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 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 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 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 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 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 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:
- 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 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 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 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 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:

- Manipulating equations:

Direct Variation

- Using the information given:

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 given point:
- (1,5)

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 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 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 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 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 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 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 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 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 that includes the given point:

Direct Variation

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

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