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Solved Examples
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BB  Find an equation that relates x and y inversely, and y = 7 when x = 5.  BB View Solution
BB  Does the equation x = 6y model direct variation, inverse variation, or neither?  BB View Solution
BB  Find an equation that relates x and y inversely, such that y = 98 when x = 8.  BB View Solution
BB  Charles used the relation v = ir to calculate the resistance, r, of a copper wire, where i is the current and v, the constant potential. Find the relationship between the current in the wire and the resistance of the wire.
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BB  Find an equation that relates x and y inversely, and y = 7 when x = 5.  BB View Solution
BB  Find an equation that relates x and y inversely, and y = 4 when x = 3.  BB View Solution
BB  Find an equation that relates x and y inversely, and y = 5 when x = 20.9.  BB View Solution
BB  Which variation does the equation, xy = 13, model?  BB View Solution
BB  Which variation does the equation y = 5x2 - 14 model?
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BB  Find an equation that relates x and y inversely, assuming y = 3 when x = 2.  BB View Solution
BB  Which variation does the equation x = 18y model?
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BB  According to Hooke's Law, the force needed to stretch a spring is proportional to the length of the spring stretched. If 27 pounds stretches a spring 5 inches, how much will the spring be stretched by a force of 83 pounds?
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BB  If y varies inversely with x and y = 0.3 when x = 3.5, then find the value of y when x = 3.  BB View Solution
BB  The number of hours, h, that m men take to cut x trees varies directly as the number of trees and inversely as the number of men. If 4 men can cut 20 trees in 4 hours, then how many men are needed to cut 40 trees in 8 hours?
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BB  Write an equation that relates x and y directly, when x = 5, y = 25.
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BB  The current in an electrical conductor varies inversely as the resistance of the conductor. What is the current when the resistance is 33 ohms, if the current is 8 amperes when the resistance is 165 ohms?  BB View Solution
BB  A machine makes 315 copies in 25 hours. How many copies can it make in 185 hours, if number of hours and the number of copies vary directly?
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BB  m varies inversely as the square of p. If m is 64 when p is 5, then find m when p is 8.  BB View Solution
BB  If a tank is emptied in 4 minutes by a pump that is pumping at a rate of 200 gallons per minute, how long will it take to empty the tank with a pump that will pump at a rate of 400 gallons per minute?
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BB  Bill drives a distance of 120 m at a speed of 60 m/sec. With what speed should he drive so that he covers twice the distance in the same time?  BB View Solution
BB  Find an equation that relates x and y inversely, and y = 10 when x = 5.  BB View Solution
BB  Does the equation x = 5y model direct variation, inverse variation, or neither?  BB View Solution
BB  Find an equation that relates x and y inversely, such that y = 76 when x = 6.  BB View Solution
BB  Does the graph model direct variation, inverse variation, or neither?
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BB  If L is a constant, then what type of variation does v = LT represent?  BB View Solution
BB  Jerald used the relation v = ir to calculate the resistance, r, of a copper wire, where i is the current and v, the constant potential. Find the relationship between the current in the wire and the resistance of the wire.
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BB  Find an equation that relates x and y inversely, and y = 8 when x = 5.  BB View Solution
BB  Find an equation that relates x and y inversely, and y = 3 when x = 2.  BB View Solution
BB  Find an equation that relates x and y inversely, and y = 4 when x = 19.8.  BB View Solution
BB  Find an equation that relates x and y inversely, assuming y = 4 when x = 3.  BB View Solution
BB  Which variation does the equation, xy = 16, model?  BB View Solution
BB  Which variation does the equation y = 5x2 - 4 model?
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BB  Which variation does the equation x = 14y model?
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BB  Which variation does the graph model?  BB View Solution
BB  If R and T are constants, then what type of variation does PV = RT represent?  BB View Solution
BB  According to Hooke's Law, the force needed to stretch a spring is proportional to the length of the spring stretched. If 31 pounds stretches a spring 4 inches, how much will the spring be stretched by a force of 54 pounds?
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BB  Write an equation that relates x and y directly, when x = 6, y = 30.
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BB  If y varies inversely with x and y = 0.5 when x = 3.5, then find the value of y when x = 5.  BB View Solution
BB  The number of hours, h, that m men take to cut x trees varies directly as the number of trees and inversely as the number of men. If 4 men can cut 12 trees in 4 hours, then how many men are needed to cut 36 trees in 12 hours?
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BB  The current in an electrical conductor varies inversely as the resistance of the conductor. What is the current when the resistance is 34 ohms, if the current is 6 amperes when the resistance is 170 ohms?  BB View Solution
BB  m varies inversely as the square of p. If m is 36 when p is 4, then find m when p is 6.  BB View Solution
BB  A machine makes 380 copies in 25 hours. How many copies can it make in 235 hours, if number of hours and the number of copies vary directly?
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BB  If a tank is emptied in 16 minutes by a pump that is pumping at a rate of 400 gallons per minute, how long will it take to empty the tank with a pump that will pump at a rate of 600 gallons per minute?
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BB  Jeff drives a distance of 160 m at a speed of 80 m/sec. With what speed should he drive so that he covers twice the distance in the same time?  BB View Solution
BB  The cost of producing pencils varies directly with the number of pencils produced. If the cost of producing 4,000 pencils is $500, then what will be the cost of production for 9,000 pencils?
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