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2.3 Direct Variation. A linear function in the form of y=kx where k is the constant of variation.

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Presentation on theme: "2.3 Direct Variation. A linear function in the form of y=kx where k is the constant of variation."— Presentation transcript:

1 2.3 Direct Variation

2 A linear function in the form of y=kx where k is the constant of variation

3 Using a table XY 235235 8 12 20 XY 125125 4 7 16

4 Looking at an Equation

5 Solve For each direct variation, find the constant of variation. Then find the value of y when x = 6.

6 Using proportions Direct variation is represented by a proportion when you are not asked to solve for the constant of variation.

7 Examples If y = 9 when x = 12, find x when y = 15 If y = 7 when x = 16, find y when x = 4

8 Application If it costs me $46 to fill the tank of my SUV and I can travel 305 miles, how much would it cost me to travel 423 miles?

9 Application If I can travel 50 miles in 45 minutes, how long will it take me to travel 229miles? Convert your answer to hours and minutes.

10 Homework 9/6: #10 pg 67 2-18 even 9/7: #11 pg 68 20-31, 38-41, 63-65 9/8: #12 pg 74 2-32 even


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