Common Core Mathematics II
Direct Variation and Inverse Variation practice
Name: _________________________ #______
Date: __________________________
Directions: Read each question carefully. Think about the work we did in class, using solvable equations to find patterns.
College Prep: Do #1-2
Honors: Do #2-3
1) Examine the table below, which describes a relationship between x and y. Then answer the questions that follow.
X
Y
4
8
12
16
20
3
6
9
12
15
a) Is this a case of direct variation or inverse variation? Explain
b) Assume the same relationship. What would be the value of y if x = 28?
c) What would be the value of x if y = 27?
d) What is the constant of proportionality in this case?
2) Examine the table below, which describes a relationship between x and y. Then answer the questions that follow.
X
Y
20
40
60
80
100
5
2.5
1.666…
1.25
1
a) Is this a case of direct variation or inverse variation? Explain
b) Assume the same relationship. What would be the value of y if x = 50?
c) What would be the value of x if y = 10?
d) What is the constant of proportionality in this case?
3) Complete the table below, which describes a relationship between x and y. Then answer the questions that follow.
X
Y
2
4
6
10
20
62.5
20.8333…
a) Is this a case of direct variation or inverse variation? Explain
b) Assume the same relationship. What would be the value of y if x = 250?
c) What would be the value of x if y = .1?
d) What is the constant of proportionality in this case?