As far as what they "have the right to demand of you" - is this an "at will" employment state? Michigan is, and they can fire you for absolutely any reason that isn't protected. Not only could they decide to let you go for riding a bike to work, they could let you go for driving a Honda instead of a Ford. or a blue car instead of a green one. Or that they don't like your shoes.
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Work: the 8 hours that separates bike rides.