Please try to clarify your ideas by working them out in your own terms before asking.

What is bandwidth? If you don't know, look it up. It is the difference between the lowest frequency available to you, and the highest frequency.

So, if your bandwidth begins at 1000 Hz and ends at 2000 Hz you have a bandwidth of 1 kHz. If it runs from 1001000 Hz to 1002000 Hz or 1000001000 Hz to 1000002000 Hz then you still have the same bandwidth and in principle you can pass information at the same rate.

But if you have available frequencies from 1000000 Hz  to 2000000 Hz, or 10001000000 Hz  to 10002000000 Hz, then you have a bandwidth of 1000000 Hz and could pass 1000 times as much information as with 1000 Hz, so you can see that the amount of information you can pass certainly is related to the amount of information.

Can you now see why?