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**Simplify. Show each step the way we have practiced in class.**

Agenda Project/ TOC Collection Ch.4 Re-Cap Closer Week 18, Day One Due Today- Scale Drawing of your Room Week 17 TOC HW # : 4-29 to 4-33 Warm Up Closer Simplify. Show each step the way we have practiced in class. A. B. Give a real life example of a proportional relationship.

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**Project/TOC Collection**

For those absent the last week before winter break, please turn in: Your Scale Drawing project TOC from Week 17

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**Is the Relationship Proportional?**

Carlos wants to buy some new video games. Each game he buys costs him $36. Is the relationship between the number of games Carlos buys and the total price proportional?

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**Is the Relationship Proportional?**

Carlos wants to buy some new video games. Each game he buys costs him $36. Is the relationship between the number of games Carlos buys and the total price proportional? Yes, this is proportional. The scale factor is 36.

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**Is the Relationship Proportional?**

A single ticket to a concert costs $56, while buying five tickets costs $250. Is the relationship between the number of tickets bought and the total price proportional?

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**Is the Relationship Proportional?**

A single ticket to a concert costs $56, while buying five tickets costs $250. Is the relationship between the number of tickets bought and the total price proportional? No, this is not proportional. 1(56)=56 but 5(50)=250. The scale factor is not the same for both pairs.

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**Is the Relationship Proportional?**

Vu is four years older than his sister. Is the relationship between Vu and his sister’s age proportional?

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**Is the Relationship Proportional?**

Vu is four years older than his sister. Is the relationship between Vu and his sister’s age proportional? No, this is not proportional. The relationship is to ADD 4. To be proportional, it must be a relationship with multiplication.

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**Is the Relationship Proportional?**

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional?

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**Is the Relationship Proportional?**

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ram and the distance she covered proportional? Yes, this is proportional. At 1 mile she ran for 7 minutes. At 2 miles she ran for 14 minutes… The scale factor is 7.

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**Is the Relationship Proportional?**

Carl just bought a music player and plans to load 50 songs each week. Is the relationship between the number of weeks after Carl bought the music player and the number of songs on his player proportional?

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**Is the Relationship Proportional?**

Carl just bought a music player and plans to load 50 songs each week. Is the relationship between the number of weeks after Cal bought the music player and the number of songs on his player proportional? Yes, this is proportional. At 1 week he will have 50 songs. At 2 week he will have 100 songs… The scale factor is 50.

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**Is the Relationship Proportional?**

Anna has a new video game. It takes her five hours of playing the game to master level one. After so much time, Anna understands the game better and it only takes her three hours of playing the game to master level two. Is the number of hours played and the game level proportional?

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**Is the Relationship Proportional?**

Anna has a new video game. It takes her five hours of playing the game to master level one. After so much time, Anna understands the game better and it only takes her three hours of playing the game to master level two. Is the number of hours played and the game level proportional? No, this is not proportional. 5 hours for level 1 3 hours for level 2 The scale factor is changing.

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**Give a real life example of a proportional relationship.**

Closer: Day 1 Give a real life example of a proportional relationship.

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Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.

Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.

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