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IELTS Reading: useful question about keywords

 A student asked me about the following question from Cambridge IELTS 9. The student was confused about whether 'amount' was a good synonym for 'rate'. How do you think I resolved this confusion? And what is the correct answer to the question?

Question (true, false or not given?)
The amount of information that can be sent in a given time period is determined with reference to the signal strength and noise level.

Relevant part of the passage:
In particular, Shannon showed that noise set a limit on the rate at which information can pass along communication channels while remaining error-free. This rate depends on the relative strength of signal and noise traveling down the communication channel and on its capacity (its "bandwidth").

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