Goals: Identify independent and dependent variables. Interpret graphs of relations. Eligible Content: A1.2.1.1.2 / A1.2.1.1.3 / A1.2.1.2.1 / A1.2.1.2.2.

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Goals: Identify independent and dependent variables. Interpret graphs of relations. Eligible Content: A / A / A / A RELATIONS AGAIN

VOCABULARY  Independent Variable – the variable whose value determines the value of the dependent variable. It is usually the x variable. (domain)  Dependent Variable – the variable whose value is determined by the value of the independent variable. It is usually the y variable. (range)

1.In warm climates, the average amount of electricity used rises as the daily average temperature increases, and falls as the daily average temperature decreases. independent: temperature dependent: electricity used IDENTIFY THE INDEPENDENT AND DEPENDENT VARIABLE

2.The number of calories you burn increases as the number of minutes that you walk increases. independent: minutes of walking dependent: calories burned IDENTIFY THE INDEPENDENT AND DEPENDENT VARIABLE

3.The dance committee is selling tickets to the Fall Ball. The more tickets that they sell, the greater the amount of money they can spend for decorations. independent: tickets sold dependent: money spent on decorations IDENTIFY THE INDEPENDENT AND DEPENDENT VARIABLE

4.Generally, the average price of going to the movies has steadily increased over time. independent: time dependent: price of movie ticket IDENTIFY THE INDEPENDENT AND DEPENDENT VARIABLE

A.The number of new members is the independent variable. The dues is the dependent variable. B. Membership dues is the independent variable. The number of new members is the dependent variable. C.x is the independent variable. y is the dependent variable. D.Both variables are independent. In a particular club, as membership dues increase, the number of new members decreases. Identify the independent and dependent variable in this function.

A. The length of the side is independent, and the the area of the square is dependent. B. The area is independent, and the side length is dependent. C.Both variables are independent. D.Both variables are dependent. The area of a square increases as the length of a side increases. Identify the independent and dependent variable in this function.

 Page 43 #3-6 PRACTICE

The graph represents the temperature in Ms. Ling’s classroom on a winter school day. Describe what is happening in the graph. INTERPRETING GRAPHS

The graph represents Macy’s speed as she swims laps in a pool. Describe what is happening in the graph. INTERPRETING GRAPHS

 Page 42 in textbook: Example 3  Textbook website examples  Page 43 #7 & 8 MORE EXAMPLES

 Pages #15-20 #23, 26 HOMEWORK

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