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Direct and Indirect Variation Homework Problems

Determine whether given scenarios represent direct, indirect, or neither variation, and find the constant of variation and write an appropriate equation. Solve joint variation and victory lap problems as well. Get ready for a quiz on direct and indirect variation.

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Direct and Indirect Variation Homework Problems

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  1. CCM2 Day 5

  2. Knight’s Charge Day 5 1/27/15 Determine whether each of the following represent DIRECT variation, INDIRECT variation, or neither. Then determine the value of the constant of variation and write an appropriate equation to model the data. 1) 2) 3)

  3. Determine whether or not the following represent DIRECT or INDIRECT VARIATION.. Or NEITHER!

  4. Homework

  5. Word Problems • 1) y varies directly with x. If y = -4 when x = 2, find y when x = -6. • 2) y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

  6. 26) The electric current I, is amperes, in a circuit varies directly as the voltage V. When 12 volts are applied, the current is 4 amperes. What is the current when 18 volts are applied? 27) The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?

  7. Let’s PLAY!

  8. JOINT Variation If p varies jointly as q and r squared, and p = 225 when q = 4 and r = 3, find p when q = 6 and r = 8.

  9. JOINT Variation Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 8 grams and a velocity of 5 centimeters per second has a kinetic energy of 100 ergs. Find the kinetic energy for a mass of 6 grams and a velocity of 9 centimeters per second.

  10. Victory Lap • If p varies directly as the square of q, and p = 20 when q = 5, find p when q = 8. • The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.

  11. Homework • 12.5 and 12.6 worksheet (FRONT and BACK) • QUIZ #2 on Thursday (on direct and indirect variation) • Have notebooks set up by tomorrow (with dividers)!

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