1 / 14

3-3 Slope as Rate of Change

3-3 Slope as Rate of Change. Goal: Interpret slope as rate of change in real life situations. Vocabulary. Rate of Change – comparing two different quantities that are changing. Rate of Change =. Example #1.

ian-nixon
Télécharger la présentation

3-3 Slope as Rate of Change

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3-3Slope as Rate of Change Goal: Interpret slope as rate of change in real life situations.

  2. Vocabulary • Rate of Change – comparing two different quantities that are changing. • Rate of Change =

  3. Example #1 DRIVING TIME Use the table to find the rate of change. Explain the meaning of the rate of change. 38 miles per hour

  4. Example #2 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. $0.05 per minute

  5. Example #3 TRAVELThe graph shows the number of U.S. passports issued in 2002, 2004, and 2006. Find the rates of change for 2002–2004 and 2004–2006. 2002-2004: 950,000 passports per year 2004-2006: 1,600,000 passports per year

  6. Example #4 AirlinesThe graph shows the number of airplane departures in the United States in recent years. Find the rates of change for 1995–2000 and 2000–2005. 1995-2000: 180,000 departures per year 2000-2005: 180,000 departures per year

  7. (0,2500) y 2700 2500 2300 2100 1900 (35,2115) Height (feet) x 5 15 25 35 45 Time (seconds) Example #5 You are parachuting. At time t = 0 seconds, you open your parachute at h = 2500 feet above the ground. At t = 35 seconds, you are at h = 2115 feet. What is your rate of change in height? -11 feet per second. The negative shows that you are falling.

  8. Examples • You are traveling by car and leave home at 8:00 AM. At 11:00 you are 171 miles from home. Find the average rate of change in miles per hour. • You are typing a paper. At 5:15 PM you have typed 275 words. At 5:27 PM you have typed 660 words. Find the average rate of change in words per minute. • At Memorial Hospital there were 500 births in 2006. In 2010, there were 352 births. Find the average rate of change in number of births per year. 57 miles per hour 32 words per minute -37 births per year

  9. Practice • Worksheet – “3-3Slope as Rate of Change”

  10. Constant Rate of Change Determine whether the function is linear. Explain. Answer: The rate of change is constant. Thus, the function is linear.

  11. Constant Rate of Change Determine whether the function is linear. Explain. Answer: The rate of change is not constant. Thus, the function is not linear.

  12. Determine whether the function is linear. Explain. A. Yes, the rate of change is constant. B. No, the rate of change is constant. C. Yes, the rate of change is not constant. D. No, the rate of change is not constant.

  13. Determine whether the function is linear. Explain. A. Yes, the rate of change is constant. B. No, the rate of change is constant. C. Yes, the rate of change is not constant. D. No, the rate of change is not constant.

  14. Homework • Pages 177-179 #14-18 #20-23 #42

More Related