VARIATIONS

1. Which of the following statements represents a direct variation?

• The distance travelled by a taxi and the fare

• The air pollution to the health hazard and life expectancy

• The volume of a cylindrical container and its height and radius

• The number of persons sharing a pizza and the size of the slices of pizza

2. 2. What is the equation that represents the statement “L varies directly as the square of M”?

3. The area of the wall (W) is directly proportional to the amount of paint (P) needed to paint the wall. If 2 gallons of paint are needed to paint a 40 m² wall, how many gallons of paint are needed to paint a wall with an area of 200 m²?

What is the equation that best describes the given statement?

• P = kW

• P = k / W

• W = kP

• W = k / P

4. The area of the wall (W) is directly proportional to the amount of paint (P) needed to paint the wall. If 2 gallons of paint are needed to paint a 40 m² wall, how many gallons of paint are needed to paint a wall with an area of 200 m²?

Which of the following is the constant of variation or proportionality (k)?

• k = 10

• k = 20

• k = 30

• k = 40

5. The area of the wall (W) is directly proportional to the amount of paint (P) needed to paint the wall. If 2 gallons of paint are needed to paint a 40 m² wall, how many gallons of paint are needed to paint a wall with an area of 200 m²?

What is the equation of variation that defines the relation?

6. The area of the wall (W) is directly proportional to the amount of paint (P) needed to paint the wall. If 2 gallons of paint are needed to paint a 40 m² wall, how many gallons of paint are needed to paint a wall with an area of 200 m²?

What is the final answer in the given problem?

• 5 gallons

• 10 gallons

• 15 gallons

• 20 gallons

7. Which of the following statements describes an inverse variation?

• The amount of electricity consumed and bill of the electricity

• The air pollution to the health hazard and life expectancy

• The volume of a cylindrical container and its height and radius

• The number of persons sharing a pizza and the size of the slices of pizza

8. What is the equation that represents the statement “P varies inversely as the cube of Q”?

9. The distance (d) from the center of a seesaw varies inversely as the weight (w) of a person, Guen who weighs 100 lbs. sits 4 feet from the fulcrum. How far from the fulcrum must Patricia to balance Guen if he weighs 80 lbs?

Which of the following equations best describes the problem?

10. The distance (d) from the center of a seesaw varies inversely as the weight (w) of a person, Guen who weighs 100 lbs. sits 4 feet from the fulcrum. How far from the fulcrum must Patricia to balance Guen if he weighs 80 lbs?

What is the value of k (constant of variation/ proportionality)?

• k = 400

• k = 200

• k = 100

• k = 25