Problem 21 Direct Variation

Jun 30, 2013

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Problem 21 Direct Variation

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Direct Variation

Direct Variation. Constant of Proportionality. Warm Up. Brainstorm: List anything you notice about the table of data. Vocabulary. Constant of Proportionality - a constant ratio (unit rate) in any proportional relationship. Also known as: Looks like:.

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Direct Variation

Direct Variation. 11-5. Pre-Algebra. 1. 1. 2. 1. 1. 2. 3. 7. 4. 4. 3. 7. (9, 3), –. (5, – 2), . (–7, 5), –. Warm Up. Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. 1. y – 3 = – ( x – 9)

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Direct Variation

Direct Variation. Chapter 5.2. Direct Variation. Lesson Objective: NCSCOS 4.01 – Students will know how to solve problems using direct variation. Direct Variation. Equation of Direct Variation. y = kx. y = k x. Coefficient of Variation. Or:. Constant of Variation. Direct Variation.

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Direct Variation

Direct Variation. Algebra I Mastery Cate Condon. The store you go into in the mall sells t-shirts. You are looking around and you see that 3 t-shirts cost $15 total. Given this information how much would 5 t-shirts cost?. We can set up a proportion: 3 5 15 c Cross multiply: 3c = 5*15= 75

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Direct Variation

Direct Variation. Chapter 5.2. Direct Variation. Equation of Direct Variation. y = kx. y = k x. Coefficient of Variation. Direct Variation. When you see: “y varies direcly as x” write. y = kx. Direct Variation.

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Direct Variation

4.6 3-9 odd, 12-22 even, 23-25, 29-34. Direct Variation. Grab ONE sheet of graph paper. Rate of Change. As previously shown, rate of change is most easily identified as the slope of a line connecting two points

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Direct Variation

Direct Variation. By Samuel Chukwuemeka ( Samdom For Peace). Objectives. At the end of this presentation, we shall Understand the meaning of variation Be familiar with the vocabulary terms Know the types of variation Demonstrate the concepts of direct variation

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Direct Variation

Direct Variation. Unit 7 Day 1. Vocabulary:. Direct Variation : a function in the form y = kx Constant of Variation : k; the coefficient of x. 1 3. 2 3. y = – + x. Is the equation a direct variation? If it is, find the constant of variation. a. 2 x – 3 y = 1.

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. Definition: Y varies directly as x means that y = kx where k is the constant of variation. (see any similarities to y = mx + b?) Another way of writing this is k =. Examples of Direct Variation:. Note: X increases,

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. Direct Variation. When we talk about a direct variation, we are talking about a relationship where as x increases, y increases or x decreases, y decreases at a CONSTANT RATE. Definition:

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. What is a Direct Variation or a Direct Proportion?. Used to compare two values and to see how one value affects the other value

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Direct Variation

Direct Variation. Honors Math – Grade 8. Get Ready for the Lesson. It costs $2.25 per ringtone that you download on your cell phone. If you graph the ordered pairs the slope of the line is 2.25.

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Direct Variation

Direct Variation. (Y = KX). Direct Variation Method “Y” varies directly as “X” means y = kx Y is a unit and X is another unit. Example: If weight varies directly as height and a person who is 73 inches tall weighs 210 lbs. then how tall is a person who weighs 180 lbs.?

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Direct Variation

Direct Variation . Objectives. To learn what direct variation is To solve problems using direct variation To solve real-life problems using direct variation. What is Direct Variation?. Direct variation means that in an equation, one term is multiplied by a constant to get the other term.

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Direct Variation

Direct Variation. A direct variation is…. A linear equation The y-intercept must be zero!!!! The graph of a direct variation will ALWAYS go through the origin (0,0). In the equation, there will only be numbers with the variables (coefficients). The only other number used can be zero.

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Direct Variation

Direct Variation. Direct Variation. A function of the form y = k x , k ≠ 0 and k is the constant of variation. The variables x and y are said to vary directly with each other. Identifying a direct variation given an equation.

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Direct Variation

Direct Variation. y = kx. A direct variation is…. A linear function Equation can be written in the form; y = mx ; m  0 or y = kx ; k  0 The y-intercept must be zero!!!! Graphs a line passing through the origin. Constant of Variation: y = k x.

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. Presentation from: http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module3-6.html. Definition: Y varies directly as x means that y = kx where k is the constant of variation. (see any similarities to y = mx + b?)

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. Definition: Y varies directly as x means that y = kx where k is the constant of variation. (see any similarities to slope?) Another way of writing this is k =. In other words: The change in Y over the change in x!

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Direct Variation

Direct Variation. What is it and how do I know when I see it?. Definition: Y varies directly as x means that y = kx where k is the constant of proportionality. Another way of writing this is k =. (Take notes – write this down). In other words:

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Direct Variation

Direct Variation. 5-2. What is a Direct Variation?. A special equation in the form: y = kx k is called the “constant of variation”; it is also the slope of the equation The variables have a direct relationship; as one increases/decreases, so does the other

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