Immediate and Inverse Variations .


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Direct and Inverse Variations. section 9-2. Direct Variation. when we talk about a direct variation, we are talking about a relationship where as x increases, y increases or decreases at a CONSTANT RATE. Direct Variation. the gist of direct variation is the following formula:.
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Slide 1

Immediate and Inverse Variations segment 9-2

Slide 2

Direct Variation when we discuss an immediate variety, we are discussing a relationship where as x builds, y increments or reductions at a CONSTANT RATE.

Slide 3

Direct Variation the substance of direct variety is the accompanying equation:

Slide 4

Direct Variation illustration: if y fluctuates specifically as x and y = 10 as x = 2.4, discover x when y =15. what x and y go together?

Slide 5

Direct Variation if y changes straightforwardly as x and y = 10 as x = 2.4, discover x when y =15 y = 10, x = 2.4 => make these y 1 and x 1 y = 15, and x = ? => make these y 2 and x 2

Slide 6

Direct Variation if y shifts straightforwardly as x and y = 10 as x = 2.4, discover x when y =15

Slide 7

Direct Variation How would we fathom this? Cross increase and set equivalent.

Slide 8

Direct Variation We get: 10x = 36 Solve for x by jumping both sides by 10. We get x = 3.6

Slide 9

Direct Variation Let\'s do another. On the off chance that y shifts straightforwardly with x and y = 12 when x = 2, discover y when x = 8. Set up your condition.

Slide 10

Direct Variation If y changes straightforwardly with x and y = 12 when x = 2, discover y when x = 8.

Slide 11

Direct Variation Cross increase: 96 = 2y Solve for y. 48 = y.

Slide 12

Direct Variation From the 9-2 Study Guide, finish issues 2, 4, & 7.

Slide 13

Direct Variation #2 6y = 72 y = 12

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Direct Variation #4 135 = 5x x = 27

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Direct Variation #7 200,000 = 50x x = 4000

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Inverse Variation Inverse is fundamentally the same as immediate, however in an opposite relationship as one esteem goes up, alternate goes down. There is not really a consistent rate.

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Inverse Variation With Direct variety we Divide our x\'s and y\'s. In Inverse variety we will Multiply them. x 1 y 1 = x 2 y 2

Slide 18

Inverse Variation If y changes contrarily with x and y = 12 when x = 2, discover y when x = 8. x 1 y 1 = x 2 y 2 2(12) = 8y 24 = 8y y = 3

Slide 19

Inverse Variation If y shifts conversely as x and x = 18 when y = 6, discover y when x = 8. 18(6) = 8y 108 = 8y y = 13.5

Slide 20

Inverse Variation Try some all alone. On your worksheet: # 1, 6, 8

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Inverse Variation #1 15(y) = 10(12) 15y = 120 y = 8

Slide 22

Inverse Variation #6 27(x) = 9(45) 27x = 405 x = 15

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Inverse Variation #8 76(y) = 38(100) 76y = 3800 y = 50

Slide 24

Direct & Inverse Variation Assignment - wkst 9-2 1-8

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