Inverse Variation

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no spacing)

Twice c varies inversely as p.

Solve for the unknown variable.

If y varies inversely as x and y = 12 when x = 3, what is the value of x when y = 4?

Solve for the unknown variable.

If r varies inversely as g and r = 106 when g = 78, what is the value of g when r = 26?

The time (t) required to drive a fixed distance varies inversely as the speed (r). It takes 6 hours at 60 kph to drive a fixed distance. How long would it take to drive the same distance at 40 kph? (unit of measure must be written in small letters: _ hours)

What type of relationship does this graph show?

• Exponential

• Inverse Variation

• Linear

• None of the above

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

Which equation represents an inverse variation?

Y varies inversely to x. If y = 0.5 when x = 4, which equation represents this situation?

As the speed of a train increases, the amount of time it takes to arrive at its destination decreases. What type of variation exists between the speed of the train and amount of time?

• Direct Variation

• Inverse Variation

• Neither

• Not enough information

The width of a rectangle varies inversely with its length. If the width is 4 when the length is 18, what is the width when the length is 8?

• 4

• 5

• 9

• 12