You can use the trip planner on the WMATA website to calculate the fare.
The cheapest way is getting an unlimited monthly pass at the $2.50 level from: https://www.wmata.com/fares/Monthly-Pass/index.cfm. The unlimited monthly pass non-peak would be $90. And you can travel between any stops under $2.50 with that pass.
Five days a week is about 20 days each month, so 40 one-way trips total. It's $2.50 per trip during off-peak times (not rush hour), so $100 per month. Rush hour trips cost $2.90, so that would be $116 per month.
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