1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. Mid-Chapter Check

7. Mid-Chapter Check

8. Mid-Chapter Check

9. Mid-Chapter Check

10. Mid-Chapter Check

11. Mid-Chapter Check

12. Mid-Chapter Check

13. Mid-Chapter Check

14. Mid-Chapter Check

15. Mid-Chapter Check

16. Mid-Chapter Check

17. Mid-Chapter Check

18. Mid-Chapter Check

19. Mid-Chapter Check

20. Mid-Chapter Check

21. Mid-Chapter Check
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.

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

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

24. 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.

25. 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.

26. 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.

27. 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.

28. 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.

29. 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?

30. 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.

31. 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.

32. 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.

33. 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.

34. 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.

35. 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.

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

37. 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 proportional.

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

39. 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.

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

41. 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.

42. Solve Proportional Relationships
Is this a true statement?

43. Solve Proportional Relationships
Is this a true statement?
· 2 = 10
· 3 = 12
It is not a true statement

44. Solve Proportional Relationships
Is this a true statement?

45. Solve Proportional Relationships
Is this a true statement?
· 10 = 90
· 13 = 101
It is not a true statement

46. Solve Proportional Relationships
Is this a true statement?

47. Solve Proportional Relationships
Is this a true statement?
· 40 = 600
· 50 = 600
It is a true statement

48. Solve Proportional Relationships
Is this a true statement?

49. Solve Proportional Relationships
Is this a true statement?
· 12 = 252
· 17 = 272
It is not a true statement

50. Solve Proportional Relationships
= 5 𝑦
How would you solve this?

51. Solve Proportional Relationships
= 5 𝑦 y = 34 · 5 ÷ 2 = 85
= 5 𝑦 y = 17 · 5 ÷ 1 = 85

52. Solve Proportional Relationships
𝑥 4 =
Do this on your own.

53. Solve Proportional Relationships
𝑥 4 =
x = 4 · 9 ÷ 10 = 3.6

54. Solve Proportional Relationships
𝑘 7 =

55. Solve Proportional Relationships
𝑘 7 =
𝑘 7 = 4 7
x = 7 · 4 ÷ 7 = 4

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

57. Solve Proportional Relationships
After 2 hours, the air temperature had risen 6°F. Write and solve a proportion to find the amount of time it will take at this rate for the temperature to rise an additional 15°F.
6° 2 ℎ𝑜𝑢𝑟𝑠 = 15° 𝑡 𝑜𝑟 ℎ𝑜𝑢𝑟𝑠 6° = 𝑡 15°

58. Solve Proportional Relationships
After 2 hours, the air temperature had risen 6°F. Write and solve a proportion to find the amount of time it will take at this rate for the temperature to rise an additional 15°F.
6° 2 ℎ𝑜𝑢𝑟𝑠 = 15° 𝑡
t = 2 · 15 ÷ 6 = 5 hours

59. Solve Proportional Relationships
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.

60. Solve Proportional Relationships
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?
37 𝑇𝑦𝑝𝑒 𝑂 𝑇𝑜𝑡𝑎𝑙 = ? 𝑇𝑦𝑝𝑒 𝑂 300 𝑇𝑜𝑡𝑎𝑙
? = 37 · 300 ÷ 80 =
Or about 139 donors.

61. Solve Proportional Relationships
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