4.1-4.2 Review (Inverse Var, Reciprocal Funct, Rational Graphs)

Which of the following represents inverse variation?

• y = kx

• y = mx + b

Which equation shows an inverse variation?

• kx=y
• y3=x
• 6=yx
• y=k

Does the table show an inverse variation?

• Yes
• No

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

Determine k for the inverse variation:

(3, 15), (5,9),(15,3)

• 5

• 15/3

• 3/15

• 45

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

• 14
• 10
• 2
• -14

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

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

• 5.33 hours 
• 6.75 hours 
• 12 hours 
• 10 hours 

What is an asymptote?

• an imaginary line that your function never touches

• a part of your function

• a point on your graph

• a type of fruit

Which asymptote is determined by looking at the denominator?

• vertical

• horizontal

• end behavior

• none