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In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4.
Which of the following statements is the best interpretation of the number 331.4 in this context?
  • a)
    The speed of sound, in meters per second, at 0°C
  • b)
    The speed of sound, in meters per second, at 0.6°C
  • c)
    The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°C
  • d)
    The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In air, the speed of sound S, in meters per second, is a linear functi...
Degrees Celsius
b)The temperature, in degrees Celsius, at which the speed of sound is 331.4 meters per second
c)The increase in speed of sound, in meters per second, for every 1 degree Celsius increase in temperature
d)The intercept of the linear function, representing the speed of sound, on the temperature axis
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In air, the speed of sound S, in meters per second, is a linear functi...
The constant term 331.4 in S(T) = 0.6T + 331.4 is the value of S when T = 0. The value T = 0 corresponds to a temperature of 0°C. Since S(T) represents the speed of sound, 331.4 is the speed of sound, in meters per second, when the temperature is 0°C.
Choice B is incorrect. When T = 0.6°C, S(T) = 0.6(0.6) + 331.4 = 331.76, not 331.4, meters per second. Choice C is incorrect. Based on the given formula, the speed of sound increases by 0.6 meters per second for every increase of temperature by 1°C, as shown by the equation 0.6(T + 1) + 331.4 = (0.6T + 331.4) + 0.6. Choice D is incorrect. An increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C is 0.6(0.6) = 0.36.
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In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4.Which of the following statements is the best interpretation of the number 331.4 in this context?a)The speed of sound, in meters per second, at 0°Cb)The speed of sound, in meters per second, at 0.6°Cc)The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°Cd)The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°CCorrect answer is option 'A'. Can you explain this answer?
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In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4.Which of the following statements is the best interpretation of the number 331.4 in this context?a)The speed of sound, in meters per second, at 0°Cb)The speed of sound, in meters per second, at 0.6°Cc)The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°Cd)The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°CCorrect answer is option 'A'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4.Which of the following statements is the best interpretation of the number 331.4 in this context?a)The speed of sound, in meters per second, at 0°Cb)The speed of sound, in meters per second, at 0.6°Cc)The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°Cd)The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°CCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by S(T) = 0.6T + 331.4.Which of the following statements is the best interpretation of the number 331.4 in this context?a)The speed of sound, in meters per second, at 0°Cb)The speed of sound, in meters per second, at 0.6°Cc)The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°Cd)The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°CCorrect answer is option 'A'. Can you explain this answer?.
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