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1.A 2.B 3.C 4.D 5Min 1-6 11/6 Honors Algebra Warm-up Write an equation in function notation for the following relationship. What is the rate? Time walking.

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Presentation on theme: "1.A 2.B 3.C 4.D 5Min 1-6 11/6 Honors Algebra Warm-up Write an equation in function notation for the following relationship. What is the rate? Time walking."— Presentation transcript:

1 1.A 2.B 3.C 4.D 5Min 1-6 11/6 Honors Algebra Warm-up Write an equation in function notation for the following relationship. What is the rate? Time walking (seconds) Distance walked (blocks) 25 410 615

2 Lesson 1 MI/Vocab Rate of change: ratio that describes, on average, how much one quantity changes with respect to a change in another quantity.

3 Lesson 1 Ex1 DRIVING TIME Use the table to find the rate of change. Explain the meaning of the rate of change. Answer:This means the car is traveling at an average rate of 38 miles per hour. =38 mph

4 A.A B.B C.C D.D Lesson 1 CYP1 CELL PHONE The table shows how the cost changes with the number of minutes used. Use the table to find the rate of change. Explain the meaning of the rate of change. A.Rate of change is.05. This means that it costs $0.05 per minute to use the cell phone. B.Rate of change is 5. This means that it costs $5 per minute to use the cell phone. C.Rate of change is 0.5. This means that it costs $0.50 per minute to use the cell phone. D.Rate of change is 0.20. This means that it costs $0.20 per minute to use the cell phone.

5 Lesson 1 Ex2 A. TRAVEL The graph to the right shows the number of U.S. passports issued in 2000, 2002, and 2004. Find the rates of change for 2000-2002 and 2002-2004. millions of passports years –150,000 passports per year 2000-2002: 2002-2004: 950,000 passports per year

6 Lesson 1 Ex2 B. Explain the meaning of the rate of change in each case. Answer: For 2000-2002, there was an average annual decrease of 150,000 passports issued. However, between 2002 and 2004, there was an average yearly increase of 950,000 passports issued.

7 Lesson 1 Ex2 C.How are the different rates of change shown on the graph?

8 Lesson 1 CYP2 1.A 2.B 3.C 4.D A.1,200,000 departures per year; 900,000 departures per year B.8,100,000 departures per year; 9,000,000 departures per year C.5 departures per year; 5 departures per year D.240,000 departures per year; 180,000 departures per year A. Airlines The graph shows the number of airplane departures in the United States in recent years. Find the rates of change for 1990-1995 and 1995-2000.

9 Lesson 1 CYP2 1.A 2.B 3.C 4.D A.For 1990-1995, the number of airplane departures increased by about 240,000 flights each year. For 1995-2000, the number of airplane departures increased by about 180,000 flights each year. B.The rate of change increased by the same amount for 1990-1995 and 1995-2000. C.The number airplane departures decreased by about 240,000 for 1990-1995 and 180,000 for 1995-2000. D.For 1990-1995 and 1995-2000 the number of airplane departures was the same. B.Explain the meaning of the slope in each case.

10 Lesson 1 CYP2 1.A 2.B 3.C 4.D A.There is a greater vertical change for 1990-1995 than for 1995-2000. Therefore, the section of the graph for 1990-1995 has a steeper slope. B.They have different y-values. C.The vertical change for 1990-1995 is negative, and for 1995-2000 it is positive. D.There is no difference shown in the graph. C.How are the different rates of change shown on the graph?


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