Question

PLEASE PLEASE PLEASE!!!! WILL MARK FIRST-PERSON AS BRANLIEST!!!

Brian has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.17 times as many villagers. The game gave Brian 8 villagers to start with. Help Brian expand his empire by solving for how many villagers he can create with 16 towns. Then explain to Brian 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

Answer:

f(n) = 8 x 1.17^(n)

f(16) = 8 x 1.17^(16)

f(16) = 8 x 12.330...

f(16) = 98.64243...

This is right because

8 x 1.17 = 9.36

9.36 x 1.17 = 10.9512

10.9512 x 1.17 = 12.812904

Answer 2

Answer:

8 × (1.17)^t

99 villagers

Step-by-step explanation:

Each town Brian has allows him to create 1.17 times as many villagers as he had in the town before. The initial number of villagers to start with = 8. To predict the number of villagers in any specific town :

Initial number × (Increment)^number of town

Let number of town = t

Increment = 1.17

Initial number (I) = 8

8 × (1.17)^t

Using this formula :

Number of villagers in 16th town:

t = 16

Number of villagers :

8×(1.17)^(16)

8×(1.17)^16

8 × 12.33030

= 98.642

= 99 round up