Direct Variation

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

General Questions
 y varies directly with x. If y = 15 when x = 3, find y when x is 1.
 1

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

 v varies directly with m. If v = 10 when m = 1/3 , find v when m is 10.
 3

 r varies directly with w-1. If r = 0.06 when w = 3, find r when w is 10.
 4

 n is directly proportional to t + 3. If t =  2/5 when n = 17, find t when n = 17.5 .
 5

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

 z varies directly as the cube of d. If z = 175 when d = 5, find z when d is 2.
 7

 g is directly proportional to the square of a. If a = -3 when g = -9, find a when g is -25.
 8

 a varies directly with the square of r. If r = 3 yields , find r when a is .
 9

 v is directly proportional to the cube of r. If  when r = 5, find v when r is 3.
 10

K Dodd

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