Joint and Combined Variation Answers

A quantity p varies jointly with r and s. Which expression represents the constant of variation, k?

The quantity a varies directly with b and c and inversely with d. The quantity d is tripled. Which of the following could be true if the relationship remains the same?

A quantity x varies directly with y and inversely with z. Which expression represents the constant of variation, k?

A quantity b varies jointly with c and d and inversely with f. When c is 4, d is 9, and f is 6, b is 18. What is the constant of variation?

The kinetic energy, K, of an object varies jointly with the mass of the object and the square of the velocity of the object. A 50-kg object moving at a velocity of 20 meters per second has 10,000 joules of kinetic energy. How many joules of kinetic energy does a 25-kg object moving at a velocity of 10 meters per second have?

When f = 2 and g = 8, n = 4. If n varies jointly with f and g, what is the constant of variation?

When a = 6 and b = 22, c = 33. If c varies directly with b and inversely with a, which equation models the situation?

When h is and j is , g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of people. Four people can paint 10 doors in 2 hours. How many people will it take to paint 25 doors in 5 hours?

The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant of variation?