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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 1. Is the amount of tax collected proportional to the cost of an item before the tax is collected? Explain. 2. Is the amount of tax collected proportional to the cost of an item after tax has been added? Explain.

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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 1. Is the amount of tax collected proportional to the cost of an item before the tax is collected? Explain.

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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 1. Is the amount of tax collected proportional to the cost of an item before the tax is collected? Explain.

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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 2. Is the amount of tax collected proportional to the cost of an item after tax has been added? Explain.

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5 Minute Check Complete in your notes. MegaMart collects a sakes tax equal to 1/16 of the retail price of each purchase. The tax is sent to the government. 2. Is the amount of tax collected proportional to the cost of an item after tax has been added? Explain.

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Mid-Chapter Check

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Log onto my website and click on the Quia link to begin the Chapter 7.1 quiz. Username is first name last name 371 (no spaces, no capitals). Username is the proper name as used in Progress Book. Password is the student ID. When complete, work on Accum Rev 9 or Compass Learning.

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Tuesday, Jan 13 Lesson 7.1.5/7.1.6 Graph and Solve Proportional Relationships

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Graph Proportional Relationships Objective: To identify proportional relationships by graphing on the coordinate plane. You will need your graph paper for todays lesson.

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Graph Proportional Relationships Another way to determine whether two quantities are proportional is to graph the quantities on the coordinate plane. If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional.

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Graph Proportional Relationships The slowest animal on Earth is the three sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane. Explain your reasoning. Determining Proportions by Graphing Step 1 Make a table.

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Graph Proportional Relationships The slowest animal on Earth is the three sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane. Explain your reasoning. Determining Proportions by Graphing Step 1 Make a table.

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Graph Proportional Relationships The slowest animal on Earth is the three sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane. Explain your reasoning. Determining Proportions by Graphing Step 2 Graph the coordinates.

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Graph Proportional Relationships The slowest animal on Earth is the three sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane. Explain your reasoning. Determining Proportions by Graphing Step 2 Graph the coordinates.

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Graph Proportional Relationships The slowest animal on Earth is the three sloth. It moves at a speed of 6 feet per minute. Determine whether the number of feet the sloth moves is proportional to the number of minutes it moves by graphing on the coordinate plane. Explain your reasoning. If the graph is a straight line and passes through the origin, it is proportional. Is this graph proportional?

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Graph Proportional Relationships James earns $5 an hour babysitting. Determine whether the amount of money he earns is proportional to the number of hours he babysits by graphing on the coordinate plane. Explain your reasoning. Do this on your own.

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Graph Proportional Relationships James earns $5 an hour babysitting. Determine whether the amount of money he earns is proportional to the number of hours he babysits by graphing on the coordinate plane. Explain your reasoning. Since the graph is a straight line and passes through the origin, the time-to- money is proportional.

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Graph Proportional Relationships Determine whether the number of pizzas is proportional to the amount of cheese by graphing by on the coordinate plane. Explain your reasoning. Do this on your own.

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Graph Proportional Relationships Determine whether the number of pizzas is proportional to the amount of cheese by graphing by on the coordinate plane. Explain your reasoning. (sometimes you may need to extend the line to see if it passes through the origin) Since the graph is a straight line and passes through the origin, the pizzas-to- cheese is proportional.

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Graph Proportional Relationships The cost of renting a video game from Games, Inc is shown in the table. Determine whether the cost is proportional to the numbers of games rented by graphing by on the coordinate plane. Explain your reasoning. Do this on your own.

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Graph Proportional Relationships The cost of renting a video game from Games, Inc is shown in the table. Determine whether the cost is proportional to the numbers of games rented by graphing by on the coordinate plane. Explain your reasoning. Since the graph is a straight line but does not pass through the origin, the cost-to- game is nonproportional.

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Graph Proportional Relationships Which batting cage represents a proportional relationship between the number of pitches thrown and the cost? Explain your reasoning.

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Graph Proportional Relationships Which batting cage represents a proportional relationship between the number of pitches thrown and the cost? Explain your reasoning. Softball Plus is a straight line, but does not pass through the origin. It is nonproportional. Fun Center is a straight line, but does pass through the origin. It is proportional.

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Solve Proportional Relationships A proportion is an equation stating two rates or ratios are equivalent.

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Solve Proportional Relationships A proportion is an equation stating two rates or ratios are equivalent. Two rates or ratios are equivalent if their cross products are equal.

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Solve Proportional Relationships Two rates or ratios are equivalent if their cross products are equal. 6 4 = 24

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Solve Proportional Relationships Two rates or ratios are equivalent if their cross products are equal. 6 4 = 24 8 3 = 24 Since the cross products are equal, they are equivalent.

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Solve Proportional Relationships Is this a true statement? 4 2 5 3

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Solve Proportional Relationships Is this a true statement? 4 2 5 2 = 10 5 3 4 3 = 12 It is not a true statement

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Solve Proportional Relationships Is this a true statement? 7 10 9 13

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Solve Proportional Relationships Is this a true statement? 7 10 9 10 = 90 9 13 7 13 = 101 It is not a true statement

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Solve Proportional Relationships Is this a true statement? 12 40 15 50

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Solve Proportional Relationships Is this a true statement? 12 40 15 40 = 600 15 50 12 50 = 600 It is a true statement

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Solve Proportional Relationships Is this a true statement? 16 12 21 17

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Solve Proportional Relationships Is this a true statement? 16 12 21 12 = 252 21 17 16 17 = 272 It is not a true statement

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Solve Proportional Relationships

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After 2 hours, the air temperature had risen 6F. Write and solve a proportion to find the amount of time it will take at this rate for the temperature to rise an additional 15F. How do we solve this?

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Solve Proportional Relationships

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If the ratio of Type O to non-Type O donors at a blood drive was 37:43, how many donors would be Type O out of 300 donors? Do this on your own.

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Solve Proportional Relationships

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Agenda Notes Homework Homework Practice 7.1.5/7.1.6 Due Wednesday, Jan 13 You can use your calculator on the homework. Chapter 7.1 Test - Friday, Jan 16