Name________________________________
Date________________ Period_____
HW 9-4
State whether each equation represents a direct or inverse variation. Then name the constant of
variation.
1.
C = 12m
6. F = 5280 m
2. 𝑝 =
4
𝑞
7. Y = 0.2s
3. 𝐿 =
5
𝑘
8. vz = -25
4. 𝑟𝑤 = 15
8
9. 𝑅 = 𝑤
𝐶
𝑑
5.
10.
𝑎
𝑏
=𝜋
1
=3
Find each value.
11. If y varies directly as x and y = 35 when
x = 7, find y when x = 11.
16. If y varies inversely as x and y = 6 when
x = 5, find y when x = 10.
12. If y varies directly as x and y = 360
when x = 180, find y when x = 270.
17. If y varies inversely as x and y = 3 when
x = 14, find x when y = 6.
13. If y varies directly as x and y = 540
when x = 10, find x when y = 1080.
18. If y varies inversely as x and y = 27
when x = 2, find x when y = 9.
14. If y varies directly as x and y = 12 when
x = 72, find x when y = 9.
19. If y varies directly as x and y = -15 when
x = 5, find x when y = -36.
15. If y varies inversely as x and y = 2 when
x = 2, find y when x = 1.
23. As a general rule, the number of parking spaces in a
parking lot for a movie theater complex varies
directly with the number of theaters in the
complex. A typical theater has 30 parking spaces
for each theater. A businessman wants to build a
new cinema complex on a lot that has enough
spaces for 210 parking spaces. How many theaters
should the businessman build in his complex?
20. The volume V of a gas varies inversely as its
pressure, P. If V = 80 c3 when P = 2000 mm of
mercury, find V when P = 320 mm of mercury.
21. The length S that a spring will stretch varies directly
with the weight F that is attached to the spring. If a
spring stretches 20 inches with 25 lbs attached, how
far will it stretch with 15 lbs attached?
22. The height that a diver leaps above a diving board
varies directly with the amount that the tip of the
diving board dips below its normal level. If a diver
leaps 44 inches above the diving board when the
diving board dips 12 inches, how high will the diver
leap above the diving board if the tip dips 18
inches?
24. An apartment rents for m dollars per month. If n
students share the rent equally, how much would
each student have to pay? How does the cost per
student vary with the number of students? If 2
students have to pay $700 each, how much money
would each student have to pay if there were 5
students sharing the rent?
Does each table represent direct or inverse variation? Determine the appropriate equation.
25..
26..
x
-2
1
3
4
6
12
48
28..
y
-12
24
8
6
4
2
0.5
27.
x
-30
-10
3
5
15
29..
y
-0.5
-1.5
5
3
1
x
-6
-2
3
7
30..
y
-24
-8
12
28