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Solved Examples
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 f   If the point (3.2, 6) is from an inverse variation, then find the constant of variation.   f View Solution
 f   If the pair of points (4.8, x) and (8, 6) are from an inverse variation, then find the value of x.   f View Solution
 f   A gas exerts a pressure of 80 pounds per square inch when its volume is 6 cubic feet. What is the pressure exerted by the gas when its volume is 60 cubic feet assuming that the product of pressure and volume is constant?   f View Solution
 f   If the point (6, 12) is from an inverse variation, then find the constant of variation.   f View Solution
 f   If the point (49, 94) is from an inverse variation, then find the constant of variation.   f View Solution
 f   If the point (24w, 54h) is from an inverse variation, then write an equation to model the data.   f View Solution
 f   Which variation does the equation xy = 37, model?   f View Solution
 f   The current in an electrical conductor varies inversely as the resistance of the conductor. What is the current when the resistance is 29 ohms, if the current is 9 amperes when the resistance is 145 ohms?   f View Solution
f   Given xy = 13, then find the values of a, b and c in the table.
 x y 10 a b 13 6 c
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f   Given xy = 8.1, then find the values of a, b and c in the table:
 x y a 0.127 0.191 b c 9

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 f   If the point (4.66, 8.10) is from an inverse variation, then write an equation to model the data.   f View Solution
 f   Find an equation that relates x and y inversely, such that y = 196 when x = 6.   f View Solution
 f   If (u, b) and (p, i) both satisfy an inverse variation, then which of the following relation is true?   f View Solution
 f   Which variation does the equation x = 8y model?   f View Solution
 f   If the pair of points (2, 3) and (- 7, y) are from an inverse variation, then find the value of y.   f View Solution
 f   The number of hours h that it takes m men to cut x trees varies directly as the number of trees and inversely as the number of men. If 3 men can cut 12 trees in 3 hours, then how many men are needed to cut 36 trees in 9 hours?   f View Solution
f   Given xy = 19, then find the values of a, b and c in the table:
 x y 13 a 127 b 172 c

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f   Determine whether x and y show a direct variation, an inverse variation or neither:
 x y 2 24 6 90 15 44 15 45
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 f   The frequency of an electromagnetic wave varies inversely with its wavelength. The frequency of a wave of wavelength 196 meters is 196 kilocycles per second. Find the frequency of the wave whose wavelength is 16 meters.   f View Solution
 f   If w varies inversely as u, and w = 7b when u = 12e, what is w in terms of e and b, when u = 3 ?   f View Solution
 f   The current I in an electrical conductor varies inversely as the resistance R of it . If the current is 14 ampere when the resistance is 88 ohms, then find the current when the resistance is 154 ohms?   f View Solution
f   Find the constant of variation if the relationship among the data in the table is an inverse variation.
 x 0.15 0.25 0.35 y 70 42 30
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f   Determine whether the relationship among the data in the table is an inverse variation, if so find the constant of variation.
 x 2 - 3 4 y 0.25 - 0.375 0.5
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f   Write an equation to model the data given in the table:
 x 2.4 2.6 2.8 y 4.55 4.2 3.9
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 f   A gas exerts a pressure of 85 pounds per square inch when its volume is 81 cubic feet. What is the pressure exerted by the gas when its volume is 153 cubic feet assuming that the product of pressure and volume is constant?   f View Solution
 f   If the point (1.75, 5.73) is from an inverse variation, then write an equation to model the data.   f View Solution
 f   If (z, d) and (u, b) both satisfy an inverse variation, then which of the following relation is true?   f View Solution
f   Given xy = 17, then find the values of a, b and c in the table.
 x y 10 a b 17 8 c
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f   Given xy = 3.6, then find the values of a, b and c in the table:
 x y a 0.159 0.251 b c 6

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 f   Does the graph model direct variation, inverse variation, or neither?   f View Solution
 f   If the point (2, 12) is from an inverse variation, then find the constant of variation.   f View Solution
 f   If the point (37, 73) is from an inverse variation, then find the constant of variation.   f View Solution
 f   If the point (3.2, 3) is from an inverse variation, then find the constant of variation.   f View Solution
 f   Which variation does the equation xy = 30, model?   f View Solution
 BB  If R and T are constants, then what type of variation does PV = RT represent?  BB View Solution
 BB  The current in an electrical conductor varies inversely as the resistance of the conductor. What is the current when the resistance is 14 ohms, if the current is 6 amperes when the resistance is 56 ohms?  BB View Solution
 BB  Find an equation that relates x and y inversely, such that y = 109 when x = 9.  BB View Solution
 BB  Which variation does the equation x = 7y model?  BB View Solution
 BB  The number of hours h that it takes m men to cut x trees varies directly as the number of trees and inversely as the number of men. If 3 men can cut 9 trees in 3 hours, then how many men are needed to cut 9 trees in 3 hours?  BB View Solution
 BB  If L is a constant, then what type of variation does v = LT represent?  BB View Solution
 BB  If the point (8r, 54g) is from an inverse variation, then write an equation to model the data.  BB View Solution
 BB  Could the number of pages you have read in a book and the number of pages you are yet to read in the same book be represented by an inverse relation?  BB View Solution
BB  Given xy = 19, then find the values of a, b and c in the table:
 x y 13 a 127 b 127 c

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 BB  If the pair of points (3, 4) and (- 7, y) are from an inverse variation, then find the value of y.  BB View Solution
 BB  If the pair of points (2.4, x) and (3.9, 6) are from an inverse variation, then find the value of x.  BB View Solution
 BB  The current I in an electrical conductor varies inversely as the resistance R of it . If the current is 15 ampere when the resistance is 175 ohms, then find the current when the resistance is 280 ohms?  BB View Solution
BB  Determine whether x and y show a direct variation, an inverse variation or neither:
 x y 5 50 30 4680 156 250 156 936
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 BB  The frequency of an electromagnetic wave varies inversely with its wavelength. The frequency of a wave of wavelength 168 meters is 252 kilocycles per second. Find the frequency of the wave whose wavelength is 24 meters.  BB View Solution
 BB  If y varies inversely as p, and y = 8d when p = 12e, what is y in terms of e and d, when p = 3 ?  BB View Solution
 BB  The current I in an electrical conductor varies inversely as the resistance R of it . If the current is 16 ampere when the resistance is 198 ohms, then find the current when the resistance is 165 ohms?  BB View Solution