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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.
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f   If the pair of points (4.8, x) and (8, 6) are from an inverse variation, then find the value of x.
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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?
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f   If the point (6, 12) is from an inverse variation, then find the constant of variation.
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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.
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f   Which variation does the equation xy = 37, model?
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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?
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f   Given xy = 13, then find the values of a, b and c in the table.
xy
10a
b13
6c
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f   Given xy = 8.1, then find the values of a, b and c in the table:
xy
a0.127
0.191b
c9

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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.
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f   Find an equation that relates x and y inversely, such that y = 196 when x = 6.
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f   If (u, b) and (p, i) both satisfy an inverse variation, then which of the following relation is true?
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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.
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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?
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f   Given xy = 19, then find the values of a, b and c in the table:
xy
13a
127b
172c

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f   Determine whether x and y show a direct variation, an inverse variation or neither:
xy
224
690
1544
1545
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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 ?
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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?
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f   Find the constant of variation if the relationship among the data in the table is an inverse variation.
x0.150.250.35
y704230
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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.
x2- 34
y0.25- 0.3750.5
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f   Write an equation to model the data given in the table:
x2.42.62.8
y4.554.23.9
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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?
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f   If the point (1.75, 5.73) is from an inverse variation, then write an equation to model the data.
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f   If (z, d) and (u, b) both satisfy an inverse variation, then which of the following relation is true?
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f   Given xy = 17, then find the values of a, b and c in the table.
xy
10a
b17
8c
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f   Given xy = 3.6, then find the values of a, b and c in the table:
xy
a0.159
0.251b
c6

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f   Does the graph model direct variation, inverse variation, or neither?
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f   If the point (2, 12) is from an inverse variation, then find the constant of variation.
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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.
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f   Which variation does the equation xy = 30, model?
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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?
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BB  Find an equation that relates x and y inversely, such that y = 109 when x = 9.
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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?
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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.
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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?
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BB  Given xy = 19, then find the values of a, b and c in the table:
xy
13a
127b
127c

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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.
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BB  If the pair of points (2.4, x) and (3.9, 6) are from an inverse variation, then find the value of x.
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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:
xy
550
304680
156250
156936
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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 ?
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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?
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