Inverse Variation

Using “k” as the constant of proportionality, write an equation modeling the following inverse variation. Then solve for the unknown.

General Questions
 y varies inversely as x. If y = 15 when x = 3, find y when x is 1.
 1

 p is inversely proportional to q. If q = 6 when p = 18, find q when p is 10.
 2

 v varies inversely with m. If v = 10 when m = , find v when m is 10.
 3

 r varies inversely with w-1. If r =  when w = 3, find r when w is 10.
 4

 n is inversely proportional to t + 3. If t = 1 when n = 3, find t when n = 2.
 5

 b varies inversely as the square root of c. If b = 1 when c = 16, find b when c is 9.
 6

 z varies inversely as the cube of d. If z = 3 when d = 2, find z when d is 4.
 7

 g is inversely proportional to the square of a. If a = -3 when g = 9, find 2 possible values for a when g is 25.
 8

 varies inversely with .  If =  yields = 3, find  when  is .
 9

 The density, d, of a substance is inversely proportional to the volume, V, of the sample. The coefficient of proportionality, k, represents the mass of the sample. If aluminum has a density of 2.71, what would be the mass of a 20 cubic centimeter sample?
 10

K Dodd

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