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 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?
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