Question

Brennan has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.15 times as many villagers. The game gave Brennan five villagers to start with. Help Brennan expand his empire by solving for how many villagers he can create with 15 towns. Then explain to Brennan how to create an equation to predict the number of villagers for any number of towns. Show your work and use complete sentences.

Answer 1

@Mathbreaker @ganeshie8

Answer 2

As it compounds, we can clearly see that every time he creates a town, the number of people increase by 1.15 times. so he creates a total of 15 towns, and he has 5 villagers to start with. So you would have to multiply it like ((5*1.15)) for the first village, and hten (5*1.15)*1.15 for the second village and so on. Therefore for 15 villages, it has to be (5*(1.15^15)), which if you have a calculator, is 40.6853081458. :P
Therefore its quite obvious that to create more villages, the equation would have to be (5*(1.15^n)), where n is the number of villages being made one after the other.
Hopefully i understood the question right in the first place :P

Answer 3

wrong

Answer 4

well then explain it @brucewayne23