loveu88:
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 as he had in the one before. The game gave Brennan 5 villagers to start with. Explain to Brennan how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in the 15th town.
darkknight:
So if he can have 1.15 more villagers than in the previous village. His base would be 1.15. Since 5 is his initial. That would be like the coefficient to the equation. Since it is 1.15 times more than the previous base your model would be exponential. Being \[1.15^x\] Now since 5 is the coefficient. It will be \[5(1.15)^x\]
darkknight:
Plug in 15 for x for the 15th town to find the number of villagers that can live in the 15th town
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