Given a long algebraic equation, what are some strategies that you can use to make simplifying and evaluating the equation more efficient and accurate? how do inverse operations solve algebraic equations? give a real-world scenario where this might be modeled.

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.