1 / 5

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.?

nieve
Download Presentation

Direct Variation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Direct Variation (Y = KX)

  2. 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:

  3. 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)

  4. 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:

  5. 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

More Related