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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

An oceanographer uses the equation s equals, three halves p to model the speed s, in knots, of an ocean wave, where p represents the period of the wave, in seconds. Which of the following represents the period of the wave in terms of the speed of the wave?

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Explanation

Choice A is correct. It’s given that p represents the period of the ocean wave, so the equation s equals, three halves p can be solved for p to represent the period of the wave in terms of the speed of the wave. Multiplying both sides of the equation by the reciprocal of three halves will isolate p. This yields two thirds s equals, two thirds times, three halves p, which simplifies to two thirds s, equals p. Therefore, p equals, two thirds s.

Choices B, C, and D are incorrect and may result from errors made when rearranging the equation to solve for p.