The power P produced by a machine is represented by the equation above, where W is the work performed during

Question

The power P produced by a machine is represented by the equation above, where W is the work performed during an amount of time t . Which of the following correctly expresses W in terms of P and t ?

Accepted Answer

Choice A is correct. Multiplying both sides of the equation by t yields , or , which expresses W in terms of P and t . This is equivalent to W = Pt . Choices B, C, and D are incorrect. Each of the expressions given in these answer choices gives W in terms of P and t but doesn&rsquo;t maintain the given relationship between W , P , and t . These expressions may result from performing different operations with t on each side of the equation. In choice B, W has been multiplied by t , and P has been divided by t. In choice C, W has been multiplied by t , and the quotient of P divided by t has been reciproed. In choice D, W has been multiplied by t , and P has been added to t . However, in order to maintain the relationship between the variables in the given equation, the same operation must be performed with t on each side of the equation.

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