Areal estate developer builds a small number of model homes, one each in a different style. during an open house event, there is a lot of interest, but prospective buyers almost exclusively prefer the "model c" style. at the conclusion of the open house event, the developer begins ramping up production quickly, doubling the number of "model c" houses completed each month. while she does not tear them down, she decides not to build more of the other 5five styles of houses. in the month when the first residents begin to move in, two hundred sixty one total houses have been built, including the original model homes.

i need to write an equation to model the number of houses built over time. it has to be in y=a * b^x-k + h form, but there doesn't have to be all of them.

edit : screw all of you guys for not answering