in air, the sound of speed, S, in meters per second, is a linear function of the air temperature T, in degrees celcius, 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?

Respuesta :

331.4 in this context represents the speed of sound, in meters per second, at 0°C

The standard form of a linear equation is given by:

F(x) = Ax + B

where x is an independent variable, F is a dependent variable, A is the rate of change of F with respect to x, B is the value of F when x = 0.

Given the linear function:

S(T)=0.6T+331.4;

S is the sound of speed in meters per second, T is the air temperature, the speed of sound changes with temperature at a rate of 0.6 (m/s)/°C, the value of the sound of speed at 0°C is 331.4 m/s.

Therefore at 0°C, the speed of sound is 331.4 m/s.

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