Direct and Inverse Variation

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

• 300

• 75

• 1,875

• 12

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

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

• 14

• 10

• 2

• -14

Question: What is the relationship between two variables in direct variation?

• direct variation

• inverse variation

• neither direct nor inverse variation

If x and y are in an inverse variation then which of the following is correct?

• x - y = constant

• x + y = constant

• xy = constant 

• x⁄y is constant 

Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?

• y=2x

• y=2/x

• y=4x

• y=x/2

An ​ (a)   takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b)   a function

• function

• inverse

• 2 or more

• undoing

Which of the following represents direct variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

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

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

Which of the given graphs is a direct variation?

• A

• B

• C

• D