5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for.

5 Minute Check Complete in your notes mi/h = ? ft/min 2. 16cm/min = ? m/h mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for this lesson.

5 Minute Check Complete in your notes mi/h = ? ft/min

5 Minute Check Complete in your notes. mi/h = ? ft/min 20 𝑚𝑖 1 ℎ · 𝑓𝑡 ·1 ℎ 1 𝑚𝑖 · 60 𝑚𝑖𝑛 = 𝑓𝑡 60 𝑚𝑖𝑛 = 𝑓𝑡 1 𝑚𝑖𝑛

5 Minute Check Complete in your notes cm/min = ? m/h

5 Minute Check Complete in your notes cm/min = ? m/h 16 𝑐𝑚 1 𝑚𝑖𝑛 · 1 𝑚 · 60 𝑚𝑖𝑛 100 𝑐𝑚 · 1 ℎ = 960 𝑚 100 ℎ = m/h

5 Minute Check Complete in your notes mi/h = ? ft/s

5 Minute Check Complete in your notes. mi/h = ? ft/s 45 𝑚𝑖 1 ℎ · 𝑓𝑡 ·1 ℎ·1 𝑚𝑖𝑛 1 𝑚𝑖 · 60 𝑚𝑖𝑛· 60 𝑠 = 𝑓𝑡 𝑠 = 66 𝑓𝑡 1 𝑠

5 Minute Check Complete in your notes cm/s = ? m/min

26 𝑐𝑚 1 𝑠 · 1 𝑚 · 60 𝑠 100 𝑐𝑚 ·1 𝑚𝑖𝑛 = 1560 𝑚 100 𝑚𝑖𝑛 = 15 3 5 m/min
5 Minute Check Complete in your notes. cm/s = ? m/min 26 𝑐𝑚 1 𝑠 · 1 𝑚 · 60 𝑠 100 𝑐𝑚 ·1 𝑚𝑖𝑛 = 𝑚 100 𝑚𝑖𝑛 = m/min

Lesson 7.1.4 Proportional and Nonproportional Relationships
Wednesday, Jan 7 Lesson Proportional and Nonproportional Relationships

Solve One-Step Inequalities

Proportional and Nonproportional Relationships
Objective: To identify and understand proportional and nonproportional relationships.

Two quantities are proportional if they have a constant ratio or rate. All of the ratios above are equivalent ratios because they all have the same value.

For relationships in which the ratio is not constant, the two quantities are nonproportional.

Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 1 – Make a table.

Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 2 – Simplify the rates or ratios.

Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 2 – Simplify the rates or ratios. Since all rates can be simplified to 18, they are proportional.

Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Step 1 - ?

Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Step 2 - ? (It doesn’t matter which unit is top or bottom)

Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Since all rates do not simplify to the same, they are nonproportional.

You can use recipe shown to make fruit punch. Is the amount of sugar used proportional to the amount of mix used? Explain. Do this on your own.

You can use recipe shown to make fruit punch. Is the amount of sugar used proportional to the amount of mix used? Explain. Since all rates can be simplified to 0.5, they are proportional.

The tables shown represent the number of pages Martin and Gabriel read over time. Which situation represents a proportional relationship between the time spent reading and the number of pages read? Explain. Do this on your own.

The tables shown represent the number of pages Martin and Gabriel read over time. Which situation represents a proportional relationship between the time spent reading and the number of pages read? Explain. Only Martin’s ratios can be simplified to the same ( ).

The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you rent the boat proportional to the total cost? Explain. Do this on your own.

The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you rent the boat proportional to the total cost? Explain. No, The cost to times ratios are not the same.

Which situation represents a proportional relationship between the number of laps run by each student and their time?

Which situation represents a proportional relationship between the number of laps run by each student and their time? Desmond’s time is proportional. It takes him 73s for every lap.

Plant A is 18 inches tall after 1 week, 36 inches after 2 weeks, 56 inches after 3 weeks. Plant B is 18 inches tall after 1 week, 36 inches after 2 weeks, 54 inches after 3 weeks. Which represents a proportional relationship between the height and number of weeks?

Plant A is 18 inches tall after 1 week, 36 inches after 2 weeks, 56 inches after 3 weeks. Plant B is 18 inches tall after 1 week, 36 inches after 2 weeks, 54 inches after 3 weeks. Which represents a proportional relationship between the height and number of weeks? Plant A Plant B Plant B grows at 18 inches per week. Height 18 36 56 Weeks 1 2 3 Height 18 36 54 Weeks 1 2 3

Johanna’s parents give her $10 per week for lunch money. Blake ran laps around the gym. His times are shown in the table. Blake is trying to decide whether the number of laps is proportional to the time. Find his mistake and correct it.

Johanna’s parents give her $10 per week for lunch money. Blake ran laps around the gym. His times are shown in the table. Blake is trying to decide whether the number of laps is proportional to the time. Find his mistake and correct it. They are not proportional. The 1st min was 25 sec per lap, the 2nd min was 33 sec per lap.

Johanna’s parents give her $10 per week for lunch money. True or false? If a function rule has only multiplication and/or division it is a proportional relationship. Give examples to support your answer.

Johanna’s parents give her $10 per week for lunch money. True or false? If a function rule has only multiplication and/or division it is a proportional relationship. Give examples to support your answer. If a simplified function rule has only multiplication and/or division it is a proportional relationship. Proportional Nonproportional x 3x 1 3 2 6 9 x 3x +2 1 5 2 8 3 11

Homework – Homework Practice Due Thursday, Jan 8 Mid-Chapter 7.1 Quiz – Changed to Friday, Jan 9

5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for.

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5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for.

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