Direction: State the variation being illustrated in the given situation.
1. The current varies directly as the electromotive force and inversely as the
resistance.
2. The amount of gasoline used by a car varies jointly as the distance travelled
and the square root of the speed.
3. The number of persons sharing a pie to the number of slices of the pie.
4. The volume of a right circular cylinder varies jointly as the height and the
square of the radius.
5. The number of hours to finish a job to the number of men working.
Step-by-step explanation: ANSWER:The needed current is 30 amperes.
Variation is a relationship of two or more variables. We say that the two variables vary directly when these variables go in the same direction. Meaning, if one variable increases, the other one also increases. We say that the two variables vary inversely when these variables do not go in the same direction.
Types of Variation
1. Varies Directly
2. Varies Inversely
3. Joint Variation
4. Combine Variation
Suppose a variable, , varies directly as , then there exist a constant, , such that satisfies.
Suppose a variable, , varies inversely as , then there exist a constant, , such that satisfies.
In the context of the problem, since the current, , varies directly as the electromotive force , then we know that there is a constant, , such that satisfies. Also, since current, , varies inversely as the resistance . Simultaneously, we have .
First, solve the value of by substituting , , and into the formula.
Second, using the same formula, substitute the value of , , and to find the current.
Thus the needed current should be 30 amperes.
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