Suppose an amount increases by 50%, then decreases by 50%. will the amount after the decrease be the same as the original amount? explain your reasoning.

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.