# 9.2.3. Direct Variation and Inverse Variation

If , find .

• A
• B
• C
• D
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The height of a right circular cylinder varies inversely with the square of its radius . If cm when cm, determine when cm.

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If , and when , find the value of when .

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If and when , find the value of when .

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If the relation between the velocity and the time is , find the value of when m/s.

• A 65 seconds
• B
62.43
seconds
• C
62.72
seconds
• D
64.68
seconds
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Given that the relation between the velocity and the time is , find the value of when seconds.

• Am/s
• Bm/s
• Cm/s
• Dm/s
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If are in continued proportion, find .

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Find the third proportional of 8 and .

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Determine the number which when added to each of 2, 12, and 24, they will be in continued proportion.

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If , find .

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If the positive mean proportional between 4 and is 22, find .

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Given that are in continued proportion, determine the values of and .

• A,
• B,
• C,
• D,
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Find the mean proportional between and .

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• D
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If is the middle proportional term between and , find the value of .

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• B
• C
• D
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If 2 is the middle proportional between and , find the middle proportional between and .

• A
• B4.2
• C
• D6.2
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Given that , and when , find .

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• B
• C
• D
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If , find .

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• C
• D
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If and when , find when .

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Given that the multiplicative inverse of , and when , determine when .

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Given that , and when , determine the value of when .

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If , where varies inversely with , and when , find when .

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If , , and when , find when .

• A
• B
• C 16
• D
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If , , and when , find the relation between and .

• A
• B
• C
• D
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Given that , , and when , determine when .

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, where is a constant and varies directly with . Given that when , and when , determine when .

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If , where is constant, varies directly with , when , and when , find the relation between and .

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• D
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Given the table below, find when .

 2 7 28 28 8 2

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Considering the type of variation between and shown in the table below, find when .

 2 4 70 70 35 2

• A
• B420
• C
• D
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Which of the following represents the relation between and ?

 44 55 99 110 60 75 135 150

• Asquare of multiplicative inverse
• Bdoes not represent direct variation or inverse variation
• Cinverse variation
• Ddirect variation
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If and when , determine the constant of proportionality.

• A 14
• B 6
• C
• D
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If varies inversely with and 6 is the constant of proportionality, then .

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• D
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The relation which represents a direct variation between the two variables and is .

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• D
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If varies inversely with given that when , determine the constant of proportionality.

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If , then .

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The speed of water spraying from the end of a garden hose varies inversely with the square of the hose nuzzle radius. If cm/s when cm, find when cm.

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The weight of a body varies inversely with the square of its distance from the center of the earth. The radius of the earth is km. If a satellite of weight kg wt on the earth's surface, how much does it weigh when it is orbiting km above the earth’s surface?

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