Name_________________________________________Date_________Score________
Direct Variation Worksheet #2
1. Which equation is not an example of a direct variation?
A. y 
7
x 1
3
B. y 
5
x
16
C. y = 4x
D. y = -9x
Name the constant of variations (k) for each equation.
2. y = 5x
3. y =
1
x
2
4. y =
2
x
3
Write a direct variation equation that relates the two variables, then solve.
5. Suppose y varies directly as x, and y = 16 when x = 8. Find y when x = 16.
6. Suppose y varies directly as x, and y = 21 when x = 3. Find y when x = 42.
7. Suppose y varies directly as x, and y = 36 when x = 4. Find y when x = 11.
8. Suppose y varies directly as x, and y = 8 when x = 2. Find y when x = 21.
Determine if each graph represents direct variation. If so, write its equation.
9.
10.
For the data in each table, tell whether y varies directly with x. If it does, write an equation for
the direct variation.
11.
12.
Time (h)
13.
Dist. (mi)
x
y
0
0
1
4
1
55
2
8
2
110
3
12
3
165
4
16
4
220
x
y
1
13
2
22
3
31
4
40
14. Your distance from lightning varies directly with the time it takes you to hear thunder. If you
hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning.
a. Write a direct variation equation for the relationship between time and distance.
b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.
15. A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies
directly with the amount of flour you use.
a. Write a direct variation equation for the relationship between the number of cups of flour
and the number of muffins.
b. Estimate how many cups of flour are needed to make 6 dozen muffins.