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

The speed of sound in dry air, v, can be modeled by the formula v equals, 331 point 3 plus 0 point 6 0 6 times T, where T is the temperature in degrees Celsius and v is measured in meters per second. Which of the following correctly expresses T in terms of v ?

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Explanation

Choice D is correct. To express T in terms of v, subtract 331.3 from both sides of the equation, which gives v – 331.3 = 0.606T. Dividing both sides of the equation by 0.606 gives the fraction with numerator v minus 331 point 3, and denominator 0 point 6 0 6, equals T.

Choices A, B, and C are incorrect and are the result of incorrect steps while solving for T.