6.4 Direct and Inverse Variation

​Direct Variation: y varies directly with x

1. A direct variation is a specific relationship where there is a _____________

___________ for all ordered pairs.


2. Where k is the ________ ____ _____________ such that y = kx.


3. To solve for k , set k =_______ .

​​Unit 6: Rational Functions
6.4 Inverse and Direct Variation

Multiple Choice

In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.

• 26
• 3
• 58.5
• 2

Multiple Choice

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 

• y=20x
• y=84x
• y=7/3x
• y=3/7x

Multiple Choice

 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x
• y=100x
• y=5.25x
• y=4/21x

Inverse variation: y varies inversely with x

1. Specific relationship where there is a _____________ ___________ for all ordered pairs.

2. Where k is the ________ ___ ______________ such that y = k/x .

3. To solve for k , set k = _____ or ____ = ________.

Multiple Choice

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

• 14
• 10
• 2
• -14

Multiple Choice

x and y vary inversely. Given (5, 20), what is the constant k?

• 4
• 5
• 25
• 100

Multiple Choice

Does the equation show an inverse variation? 
y=10/x

• yes
• no