Combined!
Direction: Using k as the constant of variation, write the equation of
variation for each of the following.
1. The current / varies directly as the electromotive force E and inversely as the
resistance R
2. The acceleration a of an object varies directly as the force fexerted and inversely
as its mass m.
3. The stiffness s of a beam varies directly as its depth d and inversely as the square
of the length 1.
4. The time required for an elevator to lift a weight varies directly with the distance d
through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their
weights w and inversely as the square of the distance d between them.
Questions:
1. When can you say that the given situation involves combined variation?
2. How do you write the equation of combined variation?
Answers
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Answer:
Combined Variation: When you combine either joint and inverse or direct and inverse variation in one problem. Example: y varies directly as x and inversely as the square of z, and when x = 32, y = 6 and z = 4. Find x when y = 10 and z = 3.
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