Inverse Variation Question Preview (ID: 61677)


Determine Inverse Variation And Excluded Values. TEACHERS: click here for quick copy question ID numbers.

Determine the constant of variation if y varies inversely as x and y = 2 when x = 7.
a) 2/7
b) 7/2
c) 3.5
d) 14

Which rational function has a graph with the horizontal asymptote y = -1?
a) y = -1/x
b) y = 1/(x - 1)
c) y = 1/(x + 1)
d) y = 1/x - 1

On a balanced lever, weight varies inversely as the distance from the fulcrum. Angie weighs 120 lb. When she sits 2.5 feet from the fulcrum of a seesaw, she balances with her brother, who weighs 80 lb. How far is her brother from the fulcrum?
a) 4/15 feet
b) 3/5 feet
c) 1.66 feet
d) 3.75 feet

Which expression is undefined for x = 4 and x = -1?
a) (x + 1) / (x + 4)
b) (x - 4) / (x + 4)
c) x / (x^2 + 3x - 4)
d) x / (x^2 - 3x -4)

Boyle’s law states that the pressure of a quantity of gas x varies inversely as the volume of the gas y. The volume of air inside a bicycle pump is 6.1 in cubed, and the pressure is 18.3 psi. Which equation represents this situation?
a) y = 3x
b) y = 3/x
c) y = 111.63x
d) y = 111.63/x

The time it takes to drive between two cities varies inversely as speed. Dolores can drive between Houston, Texas, and San Antonio, Texas, in 3.5 h at 60 mi/h. How long will the trip take if she drives 70 mi/h? (Round to the nearest tenth)
a) 2.3 hours
b) 2.6 hours
c) 3 hours
d) 4.1 hours

Identify the asymptotes of y = 2/(5x + 3) + 2
a) x = -3/5 and y = -4
b) x = -3/5 and y = 2
c) x = 3/5 and y = -2
d) x = 3/5 and y = 4

The inverse variation xy = 9 relates the current x in amps to the resistance y in ohms of a circuit attached to a 9-volt battery. What is the resistance of the circuit when the current is 1.8 amps?
a) 0.2 ohms
b) 5 ohms
c) 10.8 ohms
d) 16.2 ohms

Ohm’s law states that the resistance of a circuit varies inversely as the current. In a certain circuit, the current is 4.5 amps when the resistance is 2.8 ohms. What is the current in the same circuit when the resistance is increased to 10.5 ohms?
a) 1.2 amps
b) 6.533 amps
c) 12.2 amps
d) 16.875 amps

Identify the asymptotes of y = 1/x + 3
a) x = -3 and y = 0
b) x = 0 and y = -3
c) x = 0 and y = 3
d) x = 3 and y = 0

Let x1 = 3, y1 = 12, and x2 = 9. Let y vary inversely as x. Find y2 .
a) 3
b) 4
c) 1/4
d) 1/3

Which relationship is an inverse variation?
a) y = 5/x
b) y = x/5
c) y = x + 5
d) y = 5 - x

Identify the asymptotes of y = 3/(x - 9)
a) x = 0 and y =-9
b) x = 0 and y = -3
c) x = 3 and y = 0
d) x = 9 and y = 0

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