Inverse Variation

Which of the following types of variation states that the decrease of one quantity results to the increase of the other quantity?

• Direct Variation

• Inverse Variaton

• Joint Variation

• Combined Variation

Which of the following phrases illustrate an inverse variation?

• The area of the wall to the amount of paint used to cover it

• The amount of money raised in a concert to the number of tickets sold

• The time a teacher spends in checking papers to the number of students

• The age of a used car to its resale value

The speed r of a moving object is inversely proportional to the time t travelled is written as

• r = kt

• r = k/t

• t = kr

• t = r/k

If s varies directly as t and inversely as v, then which of the following equations describes the relation among the three variables s, t, and v?

• s = k / tv

• s = kv / t

• 1/s = kt/ v

• s = kt / v

• A.
• B.
• C.
• D.

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

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 

• A
• B
• C
• D

If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k? 

• 121

• 4

• 100

• 6

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36

• 9

• 25

• 36