DIRECT VARIATION EQUATION: y = kx

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Presentation transcript:

DIRECT VARIATION EQUATION: y = kx (where x and y are variables and k is the constant) EXAMPLES: “weight varies directly with the distance” w(eight) = k d(istance) “distance is directly proportional to the Velocity” d = kV “price varies directly as weight” p = kw

(Answers will be shown on the last slide.) YOUR TURN!! REMINDER: y = kx Ex 1) The mass of a substance varies directly as the volume of the substance. If the mass of 2 L of the substance is 10 kg, what will be the volume of 35 kg of the substance? Remember to find k first then do the equation again to answer the question. Ex 2) The distance traveled by a car at a constant speed is directly proportional to the time spent traveling. If the car goes 75 km in 5 hrs, how far will it go in 7 hours? (Answers will be shown on the last slide.)

(Answers will be shown on the last slide.) REMINDER: y = kx Ex 3) Under certain conditions the pressure of a gas varies directly as the temperature. When the pressure is 800 pascals, the temperature is 400 K. What is the temperature when the pressure is 400 pascals? Remember to find k first then do the equation again to answer the question. (Answers will be shown on the last slide.)

ANSWERS! Ex 1) M = kV 10 = k2 k = 5 35 = 5V 7 = V 7 liters Ex 2) D = kT 75 = k5 k = 15 D = 15(7) D = 105 105 km Ex 3) P = kT 800 = k400 k = 2 400 = 2T T = 200 200 K