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Direct Variation

Total questions: 11

Worksheet time: 16mins

Name
Class
Date
1.

If y varies directly as x. If y = 6 when x = 2, find the constant of variation.

a)

k = 3

b)

k = 2

c)

k = 4

d)

k = 1

2.

Which of the following is NOT an example of direct variation?

a)

The cost of bananas and the kilograms bought

b)

The distance traveled and the time at constant speed

c)

The area of a square and the side length

d)

The speed of a car and the time taken to cover a fixed distance

3.

A worker’s wage varies directly as the number of hours worked. If he earns ₱1,200 for 8 hours, how much will he earn for 12 hours?

a)

₱1,400

b)

₱1,600

c)

₱1,800

d)

₱2,000

4.

If y varies directly as x, and y = 45when x = 15, what is the value of y when x = 25?

a)

65

b)

70

c)

75

d)

80

5.

If y varies directly as x and y = 12 when x = 3, what is the equation of variation?

a)

y = 4x

b)

y = 3x

c)

y = 12x

d)

y = 2x

6.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?
a)
k = 10
b)
k = 2
c)
k = 5
d)
k = 1/5
7.

An equation of direct variation can be written in the form: y = kx

a)

True

b)

False

8.

Which is an example of direct variation?

a)

xy = 10

b)

y = 2x\frac{2}{x}  

c)

y = 5x

d)

2y\frac{2}{y}  = x

9.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
10.
Is this a direct variation?
y=2x
a)
yes
b)
no
11.
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