Question

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 as he had in the town before. The game gave Brian 8 villagers to start with. Explain to Brian 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 his 16th town.

Answer 1

Answer:

8 × (1.17)^t

99 villagers

Step-by-step explanation:

Given the information:

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

Hence,

8 × (1.17)^t

Using the 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 (nearest whole number)