we can use a simple formula that gives minimum swap fee based on the amount of staked tokens:

Swap Fee = Fmin + (Fmax−Fmin) × (C / (C+S))
where:
Fmax is the maximum fee percentage (e.g., 1% when no tokens were staked)
Fmin is the minimum fee percentage (e.g., 0.1% as the lowest possible fee).
C is the constant that determines how fast the fee decreases with increased staking (adjustable).
S is the amount of tokens the customer has staked.

a few examples:
user staked no tokens (S = 0): Swap Fee = 0.1% + 0.9% × (800 / (800 + 0)) = 1%
user staked 700 tokens (S = 700): Swap Fee = 0.1% + 0.9% × (800 / 1500) = 0.58%
user staked 800 tokens (S = 800): Swap Fee =0.1% + 0.9% × (800 / 1600) = 0.55%
user staked 1200 tokens (S = 1200): Swap Fee = 0.1% + 0.9% × (800 / 2000) = 0.46%

we can calculate this on each swap. The actual change can happen in the pool contract
where:

let compute_swap: ComputeSwap = compute_swap(
    &env,
    pool_balance_sell,
    pool_balance_buy,
    offer_amount,
    config.protocol_fee_rate(), // we change this input parameter to be calculated before this function call
    referral_fee_bps,
);

Pool: variable commission fee #393

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