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3

  1. 1. Section 3.7 Modeling Using Variation
  2. 2. Direct Variation
  3. 5. 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
  4. 6. Inverse Variation
  5. 8. 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?
  6. 9. Combined Variation
  7. 11. 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.
  8. 12. Joint Variation
  9. 13. d m 1 m 2
  10. 14. 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.
  11. 15. (a) (b) (c) (d) r
  12. 16. (a) (b) (c) (d)

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