Functions (general)

Select all the equations that represent a direct variation:

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When dealing with direct and inverse variation, the K represents what?

• Independent variable

• Dependent variable

• Constant of variation

• Integers

Which of the following are true for INVERSE variation? Select all that apply.

• y = kx

• y = k / _x

• k = ^y / _x

• k = xy

• y = x / k

The graph of this type of variation creates a line that passes through the origin.

• Direct Variation

• Inverse Variation

• Neither

• Both

Which of the following tables represent a direct variation? (select all that apply)

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Analyze the inverse variation data: Given the data points (5, 10), (10, 5), (15, 3.33), determine if they represent an inverse variation relationship and find the constant of variation.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 50.

• No, the data points do not represent any type of variation relationship.

• No, the data points represent a direct variation relationship with a constant of variation k = 50.

• Yes, the data points represent an inverse variation relationship with a constant of variation k = 15.

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

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Tags

5 Direct and Inverse Variation

Determine if the following equation represents direct variation.

y = 2x

• Direct Variation

• Not a Direct Variation

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

• Yes; 1/3
• Yes; 3
• Yes; 5
• No