Sophia, a self$-$employed individual, used her personal car for business travel this year. She paid $$2,100$ for gasoline. If Sophia can provide written documentation for $2,800$ miles of business$-$related trips, what business expense amount can she deduct $($if any$)$ for these trips, considering her car's depreciation for full business use would have been $$4,500?$

Lucas, who is self$-$employed, used his personal vehicle for business purposes. He spent $$2,400$ on gasoline. His car's depreciation for full business use would be $$5,200.$ Lucas drove a total of $16,200$ miles during the year, with $3,500$ miles documented for business purposes. What business expense amount can Lucas deduct $($if any$)$ for these trips?

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