The recommended fee as of now is 32 satoshis/byte according to bitcoinfees.earn.com
The fee suggested by bitcoinfees.earn.com should only be use if you absolutely need to be confirmed in the next block. It is presently recommending 38 sats/byte, which would put you less than 0.2 MB from the tip of the mempool. If you are happy to wait an hour or so, then you can save yourself money and use a much lower fee.
I like the fee suggested here much better. At present, it is 14 sats/byte. The sliders are useful for working out a transaction if you don't have access to your wallet, but if you do then they are superfluous - just copy the "sat/byte" number from the bottom of the blue box in to your wallet.
I see people posting mempool graph images but I have a feeling this user is trolling. Like 1btc for fees?
I'm pretty sure he means "Does the fee change depending on if my transaction is for 0.00001 BTC or 1 BTC?", to which the answer is no, provided both transactions are using the same number and type of inputs and outputs. The 0.00001 BTC transaction could be more expensive in terms of fees than the 1 BTC transaction if it is using several inputs versus a single input.
We should all also be talking about sats/
vbyte rather than sats/byte, since the latter is not accurate for addresses which are not legacy.