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Direct and inverse Variations

Total questions: 12

Worksheet time: 59mins

Name
Class
Date
1.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

2.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

3.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

4.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

5.

Determine the type of variation.

a)

Direct

b)

Inverse

c)

None

6.

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

a)

42

b)

36

c)

25

d)

49

7.

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

a)

7

b)

9

c)

5

d)

21

8.
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?
a)
k = 123
b)
k = 20
c)
k = 6.15
d)
k = 0.16
9.
In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
10.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
11.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
12.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12