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Solved Examples
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e   Find an equation that relates x and y inversely, and y = 7 when x = 5.   e View Solution
e   Does the equation x = 6y model direct variation, inverse variation, or neither?   e View Solution
e   Find an equation that relates x and y inversely, such that y = 98 when x = 8.   e View Solution
e   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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e   Find an equation that relates x and y inversely, and y = 7 when x = 5.   e View Solution
e   Find an equation that relates x and y inversely, and y = 4 when x = 3.   e View Solution
e   Find an equation that relates x and y inversely, and y = 5 when x = 20.9.   e View Solution
e   Which variation does the equation, xy = 13, model?   e View Solution
e   Which variation does the equation y = 5x2 - 14 model?
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e   Find an equation that relates x and y inversely, assuming y = 3 when x = 2.   e View Solution
e   Which variation does the equation x = 18y model?
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e   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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e   If y varies inversely with x and y = 0.3 when x = 3.5, then find the value of y when x = 3.   e View Solution
e   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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e   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?   e View Solution
e   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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e   m varies inversely as the square of p. If m is 64 when p is 5, then find m when p is 8.   e View Solution
e   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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e   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?   e View Solution
e   Write an equation that relates x and y directly, when x = 5, y = 25.
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e   Find an equation that relates x and y inversely, and y = 10 when x = 5.   e View Solution
e   Does the equation x = 5y model direct variation, inverse variation, or neither?   e View Solution
e   Find an equation that relates x and y inversely, such that y = 76 when x = 6.   e View Solution
e   Does the graph model direct variation, inverse variation, or neither?
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e   If L is a constant, then what type of variation does v = LT represent?   e View Solution
e   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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e   Find an equation that relates x and y inversely, and y = 8 when x = 5.   e View Solution
e   Find an equation that relates x and y inversely, and y = 3 when x = 2.   e View Solution
e   Find an equation that relates x and y inversely, and y = 4 when x = 19.8.   e View Solution
e   Find an equation that relates x and y inversely, assuming y = 4 when x = 3.   e View Solution
e   Which variation does the equation, xy = 16, model?   e View Solution
e   Which variation does the equation y = 5x2 - 4 model?
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e   Which variation does the equation x = 14y model?
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e   Which variation does the graph model?   e View Solution
e   If R and T are constants, then what type of variation does PV = RT represent?   e View Solution
e   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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e   If y varies inversely with x and y = 0.5 when x = 3.5, then find the value of y when x = 5.   e View Solution
e   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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e   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?   e View Solution
e   m varies inversely as the square of p. If m is 36 when p is 4, then find m when p is 6.   e View Solution
e   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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e   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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e   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?   e View Solution
e   Write an equation that relates x and y directly, when x = 6, y = 30.
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e   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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