Name: __________________________________ Block: ______
Directions: Determine if each function represents an inverse or a direct variation. If so, give the constant of variation. (Keep in mind, the answer may be neither.)
1. x y
2. y =
15 𝑥
3. 2y = 7x
100 25
50 12.5
Inverse K = 15 Direct K = 7/2
12 3
Direct K = 1/4
4. 5y = 10x + 30 5.
Neither x y
-3 24
-5 40
-7 63
Neither
6. x
2 y
30
4 15
5 12
Inverse K = 60
Directions: Assume that x and y vary directly . Find the missing variable.
7. If y = 7 and x = 28, find x if y = 10. 8. If y =
1
3
and x =
1
6
, find y if x = 4.
X = 40 y = 8
Directions: Assume that x and y vary inversely . Find the missing variable.
9. If x = 5 and y = -4, find x when y = -10.
10. If x = 6 and y = ½, find y if x = 4. x = 2 y = 3/4
Directions: Assuming that x and y vary directly, write the direct variation equation.
11. x = 7, y = 3 12. x 1 2 3 4 y -6 -12 -18 -24 y = (3/7)x y = -6x
Directions: Assuming that x and y vary inversely, write the inverse variation equation.
13. x = 21 , y = ⅓ 14. x y
1
30
2
15
3
10
4
7.5 xy = 7 or 𝑦 =
7 𝑥 xy = 30 or 𝑦 =
30 𝑥

Name: __________________________________ Block: ______
Directions: Decide if each of the graphs below represents direct variation. If so, state the constant of variation.
15. 16.
Yes K = -1 No
Directions: Draw the graph of a function where y varies directly with x using the given constant of variation.
17. Constant =
3
4
18. Constant = -3
19. The number of cookies (c) a baker is able to make varies directly with the amount
of flour (f) the baker has. If the baker is able to make 192 cookies with 20 cups of
flour, determine how much flour the baker needs to make 500 cookies. Round to
the nearest 10 th .
52.1 cups
20. According to Boyle’s Law, the pressure and volume of a gas vary inversely if the
temperature is kept constant. If the gas has an initial volume of 2 L and a pressure
of 3 atm, find the pressure if the volume is increase to 2.5 L.
2.4 atm
20. A theater company plans to hire people to build a stage set. The work time t (in
hours per person) varies inversely with the number of people hired p . The
company estimates that 25 people working for 250 hours each can complete the
job. Find the work time per person if the company hires 50 people.
125 hours

Name: __________________________________ Block: ______