Section 2 8 Modeling Using Variation Direct Variation

  • Slides: 15
Download presentation
Section 2. 8 Modeling Using Variation

Section 2. 8 Modeling Using Variation

Direct Variation

Direct Variation

Example The volume of a sphere varies directly as the cube of the radius.

Example The volume of a sphere varies directly as the cube of the radius. If the volume of a sphere is 523. 6 cubic inches when the radius is 5 inches, what is the radius when the volume is 33. 5 cubic inches. r

Example The pressure, P, of a gas in a spray container varies inversely as

Example The pressure, P, of a gas in a spray container varies inversely as the volume, V, of the container. If the pressure is 6 pounds per square inch when the volume is 4 cubic inches, what is the volume when the pressure is down to 3 pounds per square inch?

Combined Variation

Combined Variation

Example The TIXY calculator leasing company has determined that leases L, vary directly as

Example The TIXY calculator leasing company has determined that leases L, vary directly as its advertising budget and inversely as the price/month of the calculator rentals. When the TIXY company spent $500 on advertising on the internet and charge $30/month for the rentals, their monthly rental income was $4000. Write an equation of variation that describes this situation. Determine the monthly leases if the amount of advertising is increased to $2000.

Joint Variation

Joint Variation

m 1 d m 2

m 1 d m 2

Example The volume of a model square based pyramid, V, various jointly as its

Example The volume of a model square based pyramid, V, various jointly as its height, h, and the square of its side, s , of the square base. A model pyramid that has a side of the square base that is 6 inches, and the height is 10 inches, has a volume of 120 cubic inches. Find the volume of a pyramid with a height of 9 inches and a square base of 5 inches.

DIRECT VARIATION DIRECT VARIATION DIRECT VARIATION When oneDIRECT VARIATION DIRECT VARIATION DIRECT VARIATION When one
Direct Variation Vocabulary Direct Variation Constant of variationDirect Variation Vocabulary Direct Variation Constant of variation
9 1 Inverse Variation VARIATION Direct Direct Variation9 1 Inverse Variation VARIATION Direct Direct Variation
Direct Variation Section 1 9 Notes Direct VariationDirect Variation Section 1 9 Notes Direct Variation
SECTION 2 3 Direct Variation Direct Variation DefinitionSECTION 2 3 Direct Variation Direct Variation Definition
USING DIRECT AND INVERSE VARIATION DIRECT VARIATION TheUSING DIRECT AND INVERSE VARIATION DIRECT VARIATION The
USING DIRECT AND INVERSE VARIATION DIRECT VARIATION TheUSING DIRECT AND INVERSE VARIATION DIRECT VARIATION The
Direct and Inverse Variation Direct Variation When yDirect and Inverse Variation Direct Variation When y
5 5 Direct Variation Vocabulary direct variation constant5 5 Direct Variation Vocabulary direct variation constant
Direct Inverse and Joint Variation Direct Variation yDirect Inverse and Joint Variation Direct Variation y
Direct Variation Direct Variation A function of theDirect Variation Direct Variation A function of the
Algebra Direct Variation Do Now Direct Variation ModelAlgebra Direct Variation Do Now Direct Variation Model
Direct Variation Learn to recognize direct variation andDirect Variation Learn to recognize direct variation and
DIRECT VARIATION Direct Variation y varies directly asDIRECT VARIATION Direct Variation y varies directly as