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Variations

Total questions: 8

Worksheet time: 6mins

Name
Class
Date
1.

Variable A varies directly with D. If A = 60 and D = 5, find the constant of proportionality.

a)

12

b)

1/12

2.

H varies inversely with variable S. If H is 206 and S = 22, find the constant of proportionality

a)

9.36

b)

4532

3.

If E varies directly as D, and E = 24 when D = 6, then what is E when D = 3?

a)

D= 432

b)

D= 12

4.

Suppose that D is inversely proportional to C, and that D = 0.2 and C = 2.8. Find the constant of proportionality.

a)

k=0.56

b)

k= 0.0714

5.

In a formula, L varies inversely as M. If L is 600 when M = 6, constant of proportionality.

a)

k=1200

b)

k=100

6.

If E varies directly as D, and E = 20 and D = 10, then find the constant of proportionality?

a)

k=2

b)

k = 1/2

7.

In kick boxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 4 N of force to break a board 3 feet long, how many Newtons of force will it take to break a board that is 7 feet long?

a)

l = 1.33

b)

l= 1.714

8.

If Q = 4 when W = 6, and Q varies directly as W, find Q when W = 9.

a)

Q= 6

b)

Q = 8/3