17. Inverse Variation

Assume that the value of an automobile is inversely proportional to its age. If it is worth $3,000 when it is two years old, what is its value when it is six-years-old?

$1,000

The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

12.8 cubic cm

Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.

16.5

The gravitational attraction between two masses varies inversely as the square of the distance between them. If the attraction force between them is 75 lbs. when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart.

33 1/3 Ibs.

If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.

55

Identify as a direct variation, inverse variation or neither. Is the total cost to fill a car gas tank a direct or inverse variation with respect to the number of gallons used?

direct

Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotive under given conditions varies as the number of hours.

direct

Identify as a direct variation, inverse variation or neither. y = 6x

direct

Identify as a direct variation, inverse variation or neither. If x men can build a house in y days, how do x and y vary?

inverse

Which of the following equations are examples of inverse variation?

xy=c y=c/x