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Inverse Variation - Task 1

Total questions: 13

Worksheet time: 1hrs 5mins

Name
Class
Date
1.
x and y vary inversely. Given (5, 20), what is the constant k?
a)
4
b)
5
c)
25
d)
100
2.
Does the equation show an inverse variation? 
y=10/x
a)
yes
b)
no
3.
Given the following equation, identify the constant k.
y = 54/x
a)
There is one.
b)
k = x
c)
54
d)
y = k
4.
Does the table show an inverse variation?
a)
Yes
b)
No
5.
What kind of variation is shown in this graph?
a)
Inverse
b)
Direct
6.
What kind of variation is shown in the graph?
a)
Direct
b)
Inverse
7.

What is the constant of variation of the equation, x = 29/y?

a)

0

b)

1

c)

29

d)

y

8.

The variables x and y vary inversely. Use the given values to write an equation relating x and y.

x = 7 y = 2

a)

y = 14x

b)

y = 14/ x

c)

y = 7 +2x

d)

y = 14x2

9.

What is the general equation of inverse variation?

a)


y=kxy=kx

b)

y=k2xy=\frac{k^2}{x}

c)

y=kxy=\frac{k}{x}

d)

y=kx2y=kx^2

10.

Determine the type of variation:

a)

Quadratic

b)

Inverse

c)

Linear

d)

Exponential

11.

Which graph represents an inverse proportion relationship?

a)
b)
c)
d)
12.

Which of the statements BEST describes an inverse variation?

a)

an increase in x causes a decrease in y

b)

an increase in x causes an increase in y

13.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither