1. Objectives Understand Rates of Change Identify rates from graphs Vocabulary: Rate Slide 3- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

2. Slide 3- 2 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Rate A rate is a ratio that indicates how two quantities change with respect to each other.

3. Slide 3- 3 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates: a) The car’s average rate of gas consumption, in miles per gallon. b) The average cost of the rental, in dollars per day. c) The car’s rate of travel, in miles per day.

4. Slide 3- 4 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates: Solution a) The car’s average rate of gas consumption, in miles per gallon. Rate, in miles per gallon

5. Slide 3- 5 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates: Solution (continued) b) The average cost of the rental, in dollars per day. Rate, in dollars per day

6. Slide 3- 6 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Solution (continued) c) The car’s rate of travel, in miles per day. Rate, in miles per day Example On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates:

7. Slide 3- 7 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example Wanda’s Hair Salon has a graph displaying data from a recent day of work. a) What rate can be determined from the graph? b) What is that rate? Solution a) We can find the rate Number of haircuts per hour. b) 12345