3. What is the value of k when y = 8 and x = 2, and y is varies directly as x? a. 2 b. 4 с. -2 d. -4 4. If y varies directly as x such that when x - 3, y-12, find y when x = 4. b. 18 а. 16 C. -16 d. -18 5. If y varies directly as the of x, and y = 15 when x = 3, find y when x = 6. a. 30 %3D b. 35 с. 20 d. 25 6. What is y, if y is directly proportional to x, and x = 4 and k = 3? a. 7 b. 8 с. 10 d. 12 7. When y is varies inversely as x, find the value of k when x = 2 and y = 3. b. 2 a. 1 с. 3 d. 6 8. If y varies inversely as x, and y when x = 6, find y when x 2. a. 3 b. 2 с. 1 d. -3 9. If y varies inversely as x, and y = when x 12, find y when x = 3. a. 1 b. 2 С. 3 d. 4

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 72E
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Question
1. As the number of gums you buy increases, the amount you will pay will also increases. What kind a
variation was described by the statement?
a direct
2. In y = kx, k stand for
b. inverse
c. joint
d. combined
%3D
å. constant number (b
constant of variation
C. constant of x
d. constant c
3. What is the value of k when y = 8 and x = 2, and y is varies directly as x?
a. 2
b. 4
C. -2
d. -4
4. If y varies directly as x such that when x = 3, y=12, find y when x = 4.
%3D
a. 16
b. 18
C. -16
d. -18
5. If y varies directly as the of x, and y = 15 when x = 3, find y when x = 6.
%3D
a. 30
b. 35
С. 20
d. 25
6. What is y, if y is directly proportional to x, and x = 4 and k 3?
a. 7
b. 8
C. 10
d. 12
7. When y is varies inversely as x, find the value of k when x = 2 and y 3.
lana a
a. 1
b. 2
с. 3
d. 6
8. If y varies inversely as x, and y:
when x = 6, find y when x = 2.
3
a. 3
b. 2
с. 1
d. -3
1
9. If y varies inversely as x, and y
when x = 12, find y when x = 3.
2
a. 1
b. 2
С. 3
d. 4
10. Variation where the ratio of one quantity to the product of the other two quantities is constant ar
they vary jointly.
b. inverse
c. joint
d. combined
a. direct
11. Translate, a varies jointly as b and c into an equation.
b. a = bc
c. k abc
d. c = kab
%3D
a. a = kbc
12. If a varies directly as b and c, a = 20 when b = 5 and C = 2. What is a, when b = 8 and c = 3?
a. 42
b. 44
C. 46
d. 48
13. Combined variation best illustrates as
kw
b. v =
a. k =
C. X =
k
d. none of the above
14. Translate, a varies directly as b and inversely as c, into an equation.
kb
b. a = -
kc
d. b =
ас
ab
a. k =
c. b =
C
C
a
15. If v varies directly to w and inversely to x, and v = 6 when w = 2 and x = 3. What is v when x = 4 an
w = 2?
a. 18
b. 19
с. 20
d. 21
Transcribed Image Text:1. As the number of gums you buy increases, the amount you will pay will also increases. What kind a variation was described by the statement? a direct 2. In y = kx, k stand for b. inverse c. joint d. combined %3D å. constant number (b constant of variation C. constant of x d. constant c 3. What is the value of k when y = 8 and x = 2, and y is varies directly as x? a. 2 b. 4 C. -2 d. -4 4. If y varies directly as x such that when x = 3, y=12, find y when x = 4. %3D a. 16 b. 18 C. -16 d. -18 5. If y varies directly as the of x, and y = 15 when x = 3, find y when x = 6. %3D a. 30 b. 35 С. 20 d. 25 6. What is y, if y is directly proportional to x, and x = 4 and k 3? a. 7 b. 8 C. 10 d. 12 7. When y is varies inversely as x, find the value of k when x = 2 and y 3. lana a a. 1 b. 2 с. 3 d. 6 8. If y varies inversely as x, and y: when x = 6, find y when x = 2. 3 a. 3 b. 2 с. 1 d. -3 1 9. If y varies inversely as x, and y when x = 12, find y when x = 3. 2 a. 1 b. 2 С. 3 d. 4 10. Variation where the ratio of one quantity to the product of the other two quantities is constant ar they vary jointly. b. inverse c. joint d. combined a. direct 11. Translate, a varies jointly as b and c into an equation. b. a = bc c. k abc d. c = kab %3D a. a = kbc 12. If a varies directly as b and c, a = 20 when b = 5 and C = 2. What is a, when b = 8 and c = 3? a. 42 b. 44 C. 46 d. 48 13. Combined variation best illustrates as kw b. v = a. k = C. X = k d. none of the above 14. Translate, a varies directly as b and inversely as c, into an equation. kb b. a = - kc d. b = ас ab a. k = c. b = C C a 15. If v varies directly to w and inversely to x, and v = 6 when w = 2 and x = 3. What is v when x = 4 an w = 2? a. 18 b. 19 с. 20 d. 21
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