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. 
p is inversely proportional to q. If q = 6 when p = 18, find q when p is 10. 
v varies inversely with m. If v = 10 when m = , find v when m is 10. 
r varies inversely with w1. If r = when w = 3, find r when w is 10. 
n is inversely proportional to t + 3. If t = 1 when n = 3, find t when n = 2. 
b varies inversely as the square root of c. If b = 1 when c = 16, find b when c is 9. 
z varies inversely as the cube of d. If z = 3 when d = 2, find z when d is 4. 
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. 
varies inversely with . If = yields = 3, find when is . 
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? 




K Dodd


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