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Chapter 4

Chapter 4. Lesson 4-10. (over Lesson 4-6). A B C D. 7 millimeters are equivalent to how many centimeters?. A. 700 B. 70 C. 0.7 D. 0.07. (over Lesson 4-7). A B C D. How many cubic meters of water is needed for a pool with a capacity (volume) of 320,000 cubic centimeters?.

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Chapter 4

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  1. Chapter 4 Lesson 4-10

  2. (over Lesson 4-6) • A • B • C • D 7 millimeters are equivalent to how many centimeters? A. 700 B. 70 C. 0.7 D. 0.07

  3. (over Lesson 4-7) • A • B • C • D How many cubic meters of water is needed for a pool with a capacity (volume) of 320,000 cubic centimeters? A. 0.3 m2 B. 0.32 m3 C. 0.6 m3 D. 6 m3

  4. (over Lesson 4-8) • A • B • C • D The scale on a map is 1 centimeter = 25 kilometers. Find the actual distance for a map measurement of 6 cm. A.150 km. B. 100 km. C. 125 km. D. 75 km.

  5. (over Lesson 4-8) • A • B • C • D Jesse is putting together a model car. The actual car is 12 feet long. His model is 8 inches long. What scale is he using? A. 2 in. = 3 in. B. 3 in. = 2 ft C. 2 in. = 3 ft D. 3 ft = 2 ft

  6. (over Lesson 4-9) • A • B • C • D Refer to the graph about Hayden’s collection of paintings. Find the rate of change between 1996 and 1998. A. 0 paintings/yr B. 2 paintings/yr C. 3 paintings/yr D. 4 paintings/yr

  7. Identify linear relationships by finding a constant rate of change. • linear relationship • constant rate of change

  8. Preparation for Standard 7AF3.4Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the quantities.

  9. y x Finding The “Rate of Change” Watch Carefully y x -30 3 -10 1 = = The Rate of Change is:

  10. Identify Linear Relationships BABY-SITTINGThe amount a baby-sitter charges is shown. Is the relationship between the number of hours and the amount charged linear? If so, find the constant rate of change. y x

  11. y Identify Linear Relationships x Examine the change in the number of hours worked and in the amount earned. As we can see there is a constant rate of change: 8/1 or 8.

  12. Find the constant rate of change. Try to find out where we got the data to complete the formula shown below: Watch Carefully y2- y1 x2- x1 30 - 15 66 - 33 =

  13. Constant Rate of Change Formula y2 y1 y2 x2 (66, 30) y1 30 - 15 66 - 33 y2- y1 x2- x1 x1 (33, 15) x2 x1

  14. Use the Constant Rate of Change formula TRAVELFind the constant rate of change for the hours traveled and miles traveled. Interpret its meaning. x2 y2 (4, 120) x1 y1 (2, 60) Choose any two points on the line and find the rate of change between them. y2- y1 x2- x1 x1 y1 x2 y2

  15. TheConstant Rate of Changeformula. x2 y2 (4, 120) y1 y2 x1 y1 (2, 60) Place the coordinates into the formula. x1 x2 Combine to find the change in miles and the change in time. y y2- y1 x2- x1 x y Express this rate as a unit rate. x

  16. Find the Constant Rate of Change. TAXISUse the graph to determine the constant rate of change. y x

  17. Find the Constant Rate of Change. • The data in the graph can also be displayed in a table:

  18. Find the Constant Rate of Change. y x y x

  19. Constant Rate of Change Using Rise (y) Run (x) rise: $2.00 run: 5books OR 2 5 rise: $.40 run: 1book

  20. Use Rise/Run to find a Constant Rate of Change Distance Use the graph to determine the constant rate of change. rise (y) run (x) 30 miles miles = 4 inches inches 7.5 1 Express as a unit rate:

  21. y x • A • B • C • D BABYSITTINGThe amount a babysitter charges is shown. Is the relationship between the number of hours and the amount charged linear? If so, find the constant rate of change. A. yes, $6 per hour B. yes, $7 per hour C. yes, $10 per hour D. No,

  22. A • B • C • D TRAVELFind the constant rate of change for the hours traveled and miles traveled. The rate of speed is20 miles per hour. B. The rate of speed is 25 miles per hour. C. The rate of speed is 40 miles per hour. D. The rate of speed is 50 miles per hour. Use the “rate of Change” formula: y2- y1 x2- x1

  23. MOVIESFind the constant rate of change for the cost per pizza. • A • B The cost is $20 per rental. B. The cost is $2 per pizza C. The cost is $10 per pizza D. The cost is $15 per pizza Use “Rise/Run”: Rise (y) Run (x)

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