Algebra I
Independent Practice: Direct and Inverse Variation
Name: _______________________
Block:______ Date: ____________
Tell whether the equation represents direct variation. If so, state the constant of variation.
1)
2) y  5 x  1
yx
2x  y  3
3)
Find an equation of variation for each statement below.
4) The profits, P, from a company vary inversely with
employee attendance, A. The company made $500 a day
when 14 employees were present. Write an equation
relating P and A.
5) The time it takes, T, for a paper copier
machine to finish a copy job varies directly
with the number of copies, N. It takes
64 seconds for the machine to make 42
copies. Write an equation relating T and N.
Find an equation of variation for each statement. Then solve the equation.
6) If y varies directly with x,
and if y = 20 when x = 4,
find y when x = 15 .
9) If x and y vary directly,
what must be the value of
“m” in the table below?
x
y
17
18
20
m
8) If y varies directly with x,
and if y = 13 when x = 2,
find y when x = 6 .
7) If y varies inversely with x,
and if y = 3 when x = 2.5,
find x when y = 12 .
23
26
11) Sketch a graph representing a direct variation relation.
10) Complete the table of values
below. Does it represent direct
variation? How do you know?
x
y
-6
3
-1
6
4
9
9
15