Direct and Inverse Variation

​Direct and Inverse Variation

​As the first unit goes UP the second unit goes UP

​OR

​As the first unit goes DOWN the second unit goes Down

​As the first unit goes UP the second unit goes DOWN

​OR

​As the first unit goes DOWN the second unit goes UP

Multiple Choice

What type of variation does this scenario represent?
You and some friends decide to buy 2 pizzas and split the cost evenly.
The number of friends who are sharing the cost of the pizzas
and the amount of money you pay for your share.

• direct variation
• inverse variation
• joint variation
• none of these

Multiple Choice

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable 

• direct variation
• inverse variation
• joint variation
• none of these

Multiple Choice

What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power 

• direct variation
• inverse variation
• joint variation
• none of these

Multiple Select

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• k=xy

Multiple Select

Which of the following represents direct variation?

• y = kx
• y = k/x
• y = x/k
• k=y/x

​Does a table show direct or inverse variation?

Use the formulas to determine if a table shows direct or inverse variation

Multiple Choice

Is the given table a direct or inverse variation? What is the constant of variation?

• Direct, 12
• Inverse, 12
• Direct, 1/12
• Inverse, 1/12

Multiple Choice

Is the given table a direct variation? If so, what is the constant?

• Yes; 1/4
• Yes; 4
• Yes; 2
• No

Multiple Choice

Is the given table a direct variation? If so, what is the constant of variation?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

​Determine if a Graph shows Direct Variation

​2 SIMPLE requirements for a graph to show direct variation

• Straight line

• through the origin (0,0)

Multiple Choice

Is this a direct variation?

• yes

• no

Multiple Choice

Direct Variation?

• yes

• no

Multiple Choice

Which of the given graphs is a direct variation?

• A

• B

• C

• D