Match each inequality with its graph ?

Step-by-step explanation:

Since each town he has allows him to create 1.13 times as many villagers as he had in the one before.

The population of the next village will be a multiplication of the population of the previous village by 1.13.

This forms a sequence in which the next term is obtained by multiplication of the previous term by a constant. This type of sequence us called a Geometric Sequence and the constant is called the Common ratio.

For any number of terms, the nth term of a Geometric Progression is determined using the formula:

Where a= First Term

r= common ratio

n= number of terms

The game gave Chase 4 villagers to start with.

Therefore, his first term a=4

The common ratio, r= 1.13

To predict the number of villagers in any specific town, we use the formula:

In the 17th town, i.e. n=17

The number of villagers that can be created will be found by substituting n=17 into the formula above.

Since number of villagers cannot be fractional, the number of villagers he can create to live in the 17th village is 28.