Direct Variation
By K Dodd
Using “k” as the constant of proportionality, write an equation modeling the following direct variation. Then solve for the unknown.
p is directly proportional to q. If q = 6 when p = 18, find q when p is 10.
v varies directly with m. If v = 10 when m = 1/3 , find v when m is 10.
r varies directly with w-1. If r = 0.06 when w = 3, find r when w is 10.
n is directly proportional to t + 3. If t = 2/5 when n = 17, find t when n = 17.5 .
b varies directly as the square root of c. If b = 1 when c = 16, find b when c is 9.
z varies directly as the cube of d. If z = 175 when d = 5, find z when d is 2.
g is directly proportional to the square of a. If a = -3 when g = -9, find a when g is -25.
a varies directly with the square of r. If r = 3 yields 
, find r when a is 
.
v is directly proportional to the cube of r. If 
when r = 5, find v when r is 3.