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Suppose y is directly proportional tox, and y=40 when x=10. Find y if x=16 Use thefour-step procedure to solve for the variable requested. x varies

  1. Suppose y is directly proportional tox, and y=40 when x=10. Find y if x=16
  2. Use thefour-step procedure to solve for the variable requested. x varies directly asy, and x=6 when y=5. Find x if y=25.
  3. Use thefour-step procedure to solve for the variable requested. y varies directly as the square ofR, and y=8 when R=5. Find y when R=20.
  4. Suppose y varies inversely asx, and y=12 when x=6. Find y if x=8.
  5. Let r varies inversely asu, and r= 8 when u=7. Find r if u =1/2.
  6. a varies inversely as b3. If a=9/4 when b=2, find a when b is 3.
  7. If z varies jointly as x andy, and z= 432 when x =9 and y= 8. Find y if z= 60 and x=2
  8. y varies directly as the square of R. If y=196 when R=7, find y when R=2
  9. P varies jointly as T and the square ofQ, and P=9 when T=14 and Q=3. Find P when T=5 and Q=8
  10. Theincome, I, for a kiddie train at an amusement park is directly proportional to the number of ticketssold, n. If theincome, I, is $84 when 24 tickets aresold, determine the income when 22 tickets are sold.
  11. The distance d that an object falls varies directly as the square of the time t during which it is falling. If an object falls 256 feet in 4 seconds, how long will it take the object to fall 49 feet?
  12. The distance that a spring will stretch varies directly as the force applied to the spring. A force of 80 pounds is needed to stretch a spring 8 inches. What force is required to stretch the spring 14 inches?
  13. The volume of a gas in a container at a constant temperature varies inversely as the pressure. The volume is 27 cubic centimeters at a pressure of 12 pounds. Use a proportion to find the pressure when the volume is 47 cubic centimeters.
  14. The weight of an object varies inversely as the square of theobject's distance from the center of Earth. The radius of Earth is 3960 miles. a. If an astronaut weighs 112 pounds on the surface ofEarth, how much does she weigh 5,767 miles above the surface ofEarth? b. If a miner weighs 191 pounds on the surface ofEarth, how much does he weigh 21 miles below the surface ofEarth?
  15. The intensity I of illumination from a light source is inversely proportional to the square of the distance d from the source. Suppose the intensity is 340 candela at a distance of 10 feet from a light source. a.) What is the intensity at 2 feet from thesource? b.) How far away from the source will the intensity be 500 candela?

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