1 / 6

Direct Variation

Direct Variation. Objective: to solve for k and set up a direct variation equation. Direct Variation. Constant : A value that does not change Example: 1.6 km per mile Directly proportional : two variables that have a constant ratio. Example: Direct variation : An equation in the form

phyllis-nguyen
Télécharger la présentation

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 Objective: to solve for k and set up a direct variation equation

  2. Direct Variation Constant: A value that does not change Example: 1.6 km per mile Directly proportional: two variables that have a constant ratio. Example: Direct variation: An equation in the form y = kx, kis the constant of variation and can be found when you take y and divide it by x. Example: y = 1.6x, where y is kilometers andx is miles.

  3. The cost of a soft drink varies directly with the number of ounces you buy. It costs $.96 for a 12 oz. bottle. The steps to follow to write a direct variation equation: 1. What is the generic formula for a direct variation equation? y = kx 2. What is the variation constant (k) for this problem? k = 0.08 3. What is the equation for this problem? (make it specific for this problem) c = kn, where c = cost and n = ounces c = .08n 4. How much does it cost to buy a 16 oz pop bottle? c = .08(16) c = $1.28 c = .08n

  4. The cost of gasoline varies directly with the number of gallons bought. It costs $33 to buy 12 gallons of gas. The steps to follow to write a direct variation equation: 1. What is the generic formula for a direct variation equation? y = kx or k = y/x 2. What is the variation constant (k) for this problem? k = 2.75 3. What is the equation for this problem? (make it specific for this problem) c = 2.75n c = kn, where c = cost and n= gallons bought 4. How much does it cost to buy 7.5 gallons of gas? c = 2.75(7.5) c = $20.63 c = 2.75n

  5. A worker earns $1010 in a 40 hour work week. The steps to follow to write a direct variation equation: Hours $ 1. What is the generic formula for a direct variation equation? $___ hours y = kx 2. What is the variation constant (k) for this problem? k = 25.25 3. What is the equation for this problem? (make it specific for this problem) m = 25.25h m = kh, where m = money earned and h = hours worked 4. How many hours did he work if he got paid $4848. 4848 = 25.25 (h) h = 192 m = 25.25h

  6. assignment • Direct variation worksheet 1-5

More Related