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Solved Examples
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BBB If the point (3.2, 6) is from an inverse variation, then find the constant of variation.
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BBB 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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BBB 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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BBB If the point (6, 12) is from an inverse variation, then find the constant of variation.
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BBB If the point (49, 94) is from an inverse variation, then find the constant of variation. BBB View Solution
BBB If the point (24w, 54h) is from an inverse variation, then write an equation to model the data.
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BBB Which variation does the equation xy = 37, model?
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BBB Given xy = 13, then find the values of a, b and c in the table.
xy
10a
b13
6c
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BBB 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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BBB If the point (4.66, 8.10) is from an inverse variation, then write an equation to model the data.
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BBB 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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BBB If (u, b) and (p, i) both satisfy an inverse variation, then which of the following relation is true?
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BBB 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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BBB Find an equation that relates x and y inversely, such that y = 196 when x = 6.
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BBB Given xy = 19, then find the values of a, b and c in the table:
xy
13a
127b
172c

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BBB Determine whether x and y show a direct variation, an inverse variation or neither:
xy
224
690
1544
1545
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BBB 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. BBB View Solution
BBB 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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BBB 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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BBB Which variation does the equation x = 8y model? BBB View Solution
BBB 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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BBB 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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BBB 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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BBB Write an equation to model the data given in the table:
x2.42.62.8
y4.554.23.9
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BBB 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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BBB If the point (1.75, 5.73) is from an inverse variation, then write an equation to model the data.
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BBB If (z, d) and (u, b) both satisfy an inverse variation, then which of the following relation is true?
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BBB Given xy = 17, then find the values of a, b and c in the table.
xy
10a
b17
8c
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BBB 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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BBB If the point (2, 12) is from an inverse variation, then find the constant of variation.
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BBB If the point (37, 73) is from an inverse variation, then find the constant of variation. BBB View Solution
BBB If the point (3.2, 3) is from an inverse variation, then find the constant of variation.
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BBB If the point (8r, 54g) is from an inverse variation, then write an equation to model the data.
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BBB 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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BBB Given xy = 19, then find the values of a, b and c in the table:
xy
13a
127b
127c

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BBB 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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BBB Does the graph model direct variation, inverse variation, or neither?
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BBB 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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BBB Determine whether x and y show a direct variation, an inverse variation or neither:
xy
550
304680
156250
156936
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BBB Which variation does the equation xy = 30, model?
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BBB 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. BBB View Solution
BBB If R and T are constants, then what type of variation does PV = RT represent? BBB View Solution
BBB 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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BBB Find an equation that relates x and y inversely, such that y = 109 when x = 9.
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BBB Which variation does the equation x = 7y model? BBB View Solution
BBB 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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BBB If L is a constant, then what type of variation does v = LT represent? BBB View Solution
BBB 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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BBB 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? BBB View Solution
BBB 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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