Direct variation
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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

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Direct variation

Direct Variation

(Y = KX)


Example

  • 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.?

  • Y = weight, and X = height thus Weight = Height(K)

  • 210 = 73k thus k = 210/73

  • So 180 = (210/73)X; X = 180/ (210/73) = 430/7 = 62.6 inches

Example:


Example continued

  • Proportion Method

  • Inches/ lbs = inches / lbs

  • 73 / 210 = X / 180

  • 73(180) = 210x

  • 12960 = 210x

  • 12960 / 210 = x

  • 430 / 7 = x

  • X = 62.6 inches

Example (continued)


Example1

If the volume of a polyhedron varies directly as the square root

of its surface area, when the volume is 60 cu. ft. with a

surface area 100 sq. ft. what’s the volume for a polyhedron with

a surface area of 400 sq. ft.?

  • Volume = K √Surface Area

  • 60 = K √100

  • 60 = 10K

  • 60 / 10 = K; K = 6

  • So V = 6√400

  • V = 6(20)

  • V = 120 cu ft

Example:


Assignment

  • Page 565 #’s 2 to 24 evens

  • Page 572 #’s 27 to 32

  • Page 579 #’s 7 to 10, 23, 24, 27 to 29

Assignment


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