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When the sample rate of a digital audio system is increased from 48kHz to 96kHz, the amount of data that needs to be transmitted per second also increases. Since bandwidth is directly related to the sample rate, doubling the sample rate means the system must handle twice the number of samples in the same time period.

In audio transmission, each sample represents a piece of audio information that needs to be sent over the network. If you go from 48kHz to 96kHz, you are essentially doubling the number of samples transmitted every second, which directly translates to a doubling of the bandwidth requirement. Therefore, the correct choice indicates that the bandwidth requirement roughly doubles when the sample rate is increased from 48kHz to 96kHz.

This understanding is essential for planning network capacity and ensuring that the network can handle the increased demands of higher sample rates without experiencing degradation in audio quality or performance.