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Direct Variation with kx and y/x

Total questions: 10

Worksheet time: 36mins

Name
Class
Date
1.
 y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
2.
Is this a direct variation?
y=2x
a)
yes
b)
no
3.

What is the constant (k) in the table?

HINT: pick a y-value and a x-value to use from the table.

a)

10

b)

6

c)

9

d)

7

4.
 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
5.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
6.

 Y varies directly with x, and y is 0.5 when x is 4. Which equation represents this situation?

a)
y=2x
b)
y=2/x
c)
y=4x
d)
y=x/2
7.

If y varies directly as x and x=5 when y=20, then what is the constant of variation, k? 

a)
121
b)
4
c)

10

d)
6
8.

What is the constant (k) in this direct variation formula?
y = 400x

a)
x
b)
y
c)
400
d)
Not enough information given
9.

k represents -

a)

mu

b)

pi

c)

constant of proportionality

d)

inverse

10.

To find k, you must use -

a)

x/y

b)

y/x