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Given a smart contract, How do I figure out the total amount of gas used? Say for example a smart contract which has a parameterized constructor which stores 5 variables which are address type variables, passed in the parameter of a function. What would be the amount of gas this function uses?

also, whoever uses the smart contract can give their choice of gas cost?

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Each operation in the EVM costs gas. Different operations cost different amount of gas - you can read more for example here: https://hackernoon.com/ether-purchase-power-df40a38c5a2f (and its references). I'm not too familiar with the opcodes so I can't tell you how much storing 5 addresses would exactly cost.

Clients typically provide you with a gas estimate when you are about to send a transaction. Often this is an accurate estimate but sometimes it's impossible to estimate it properly.

Whoever sends a transaction to a contract can decide the gas price. The higher price you give the faster miners will probably include you transaction in a block but also the more Ether the transaction costs for you.

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