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Bell Ringer 12-9-11 EXPLORE Review. Interim Review – Next Interim is January 12 (Standard 13-27) 1. 8y – 4y + 5 = 15 2. When cf – j = y, f 0, c = (Solve for c)
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Bell Ringer 12-9-11EXPLORE Review Interim Review – Next Interim is January 12 (Standard 13-27) 1. 8y – 4y + 5 = 15 2. When cf – j = y, f 0, c = (Solve for c) 3. Billy’s average test score after 5 tests in Algebra was 90, and he scored 85, 92, 88 and 90 points on the first four tests? How many points did he score on the 5th test? 4. Evaluate 4z2 – z + 5 z = 3 What is the smallest possible whole number divisible by both 18 and 21? The Coleman and Williams families are going to a movie together. If there are 3 adults and 10 children, what is the ratio of adults to children? Jim is able to walk 4 times as far as Mandy. If Jim can walk 28miles, how many miles can Mandy walk?
1-6 Relations Objectives: By the end of this class period, with an 85% accuracy, students will be able to: • Identify dependent and independent variables in real-life situations • Describe what is happening in graphs of relations
Independent and Dependent Variables An independent variable is the value of the variable that determines the output. x is the independent variable. It can stand alone. A dependent variable is the value that is dependent on the independent variable. y is the dependent variable. It depends on the other variable. Example: 1 Your height increases as you get older. What are the independent and dependent variables for this relation? A person’s age and height. Which variable depends on the other? Your height depends on how old you are (age). Height is the dependent variable. Age is the independent variable.
Example 2 2. CLIMATEIn warm climates, the average amount of electricity used rises as the daily average temperature increases, and falls as the daily average temperature decreases. Identify the independent and the dependent variables for this relation. What are the 2 variables? Temperature and electricity usage. Electricity usage depends on the temperature. Temperature is the independent variable since it is unaffected by the amount of electricity used. Electricity usage is the dependent variable since it is affected by the temperature.
Example 3 B. The number of calories you burn increases as the number of minutes that you walk increases. Identify the independent and the dependent variables for this relation. What are the 2 variables? The number of minutes you walk (time) and the number of calories burned. Number of calories burned depends on the number of minutes walked (time). The time is the independent variable. The number of calories burned is the dependent variable since it is affected by the time.
A. In a particular club, as membership dues increase, the number of new members decreases. Identify the independent and dependent variable in this relation. 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.yis the independent variable. xis the dependent variable. D. Both variables are independent.
B. The area of a square increases as the length of a side increases. Identify the independent and dependent variable in this relation. 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.
Analyze Graphs A relation can be graphed without a scale on either axis. These graphs can be interpreted by analyzing their shape. See p. 42 Example 3 See graph Y depends on x. The distance depends on the time. Distance – dependent and time - independent As the time increases the distance increases until the graph becomes a horizontal line. Time increases but the distance remains the same. At this section, she stopped. Then she continued to ride her bike.
Analyze Graphs Example: The graph represents the temperature in Ms. Coleman’s classroom on a winter school day. Describe what is happening in the graph. (y) Temperature depends on the (x) time. Temperature – dependent and time independent Sample: The temperature increases after the heat is turned on. Then the temperature goes up and down because of the thermostat. Finally, the temperature drops when the heat is turned off.
The graph represents Macy’s speed as she swims laps in a pool. Describe what is happening in the graph. A. Macy is doing bobs. B. Macy’s speed increases as she crosses the length of the pool, but then decreases to zero when she turns around at the end of each lap. C. Macy is swimming at a constant speed. D. Macy’s speed continues to decrease.
Exit Slip 1. p. 43 #7
HOMEWORK p. 44 20-26 all Read 1-7 Take Notes Bring Graph Paper daily.