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That value is for the speed of light from what I wrote down during my notes. I do not remember him saying it was the speed in a vacuum or if it means the same thing but that might be my mistake. I believe it is a value he just gave to us and we might use it later on but I do remember it was one of the first things he said after he gave us the equation to find speed in general which was wavelength(lambda)*frequency = velocity/speed. Wavelength is in meters and frequency is in seconds which given the right input values for wavelength and frequency (I do not think he gave us these values) would give us 3.00*10^8 m/s for the speed of light.
He did say 3.00x10^8 m/s is the speed in vacuum during Monday's lecture. By this I believe he means the speed of light in a vacuum, which is the constant 3.00x10^8 m/s., meaning the light is traveling through empty space where nothing else can travel through. If light is not traveling at c (constant), it is moving through a material.
C is a constant that represents the speed of light in a vacuum. Light will constantly travel at this speed, but this is specifically for a vacuum. The speed of light can change through different mediums. An example of this would be the different speed of light traveling through water.
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