Joint and Combined Variation Answers

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

A quantity m varies jointly with p and r. When p is 2 and r is 4, m is 1. What is the constant of variation?

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

A quantity h varies directly with w and inversely with p. When w = 4 and p = 6, h = 2. What is the constant of variation?

When f = 2 and g = 8, n = 4. If n varies jointly with f and g, 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?

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?

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?

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

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?