Question

# 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) *= 0.6*T* + 331.4. Which of the following statements is the best interpretation of the number 331.4 in this context?

- The speed of sound, in meters per second, at 0°C
- The speed of sound, in meters per second, at 0.6°C
- The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°C
- The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C

## The correct answer is: The speed of sound, in meters per second, at 0°C

### Solution:-

Given :- Speed of sound= S m/s

Temperature = T °C

S(T) = 0.6T + 331.4

We can compare this equation with the equation of straight line y= mx + c.

And T represents x-axis

We get y-intercept, c= 331.4, when x= 0

Similarly , we will get S(T)= 331.4 when T=0

Therefore, the speed of sound in meters per second at 0°C will be 331.4 m/s

So, correct answer is Option A.

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