Inverse Variation Functions Review

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

• 8 painters

• 10 painters

• 9 painters

• 11 painters

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

• 300

• 75

• 1,875

• 12

What is the range of the function in this graph?

• y ≤ 3

• y ≥ 3

• y ≤ 0

• y ≥ 0

What is the horizontal asymptote?

• 2

• -2

• -1

• 0

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

State the Domain and Range.

• D:  x ≠ 5 , and  R:  y ≠ 7

• D:  x ≠ -5 , and  R:  y ≠ 7

• D:  x ≠ 5 , and  R:  y ≠ -7

• D:  x ≠ 7 , and  R:  y ≠ 5

Suppose p varies directly as r, and p varies inversely as t.
t = 20 when p = 4 and r = 2.
Find t when r = 10 and p = -5.

• 80

• -80

• 4

• -20

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x

• y = 144x

• y = 4/x

• y = 144/x

The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.

• 9

• 72

• 36

• 2

Which of the following is the function shown in the graph?

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• 
• 
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