# Question: the function fx 200 1078x represents a villages...

###### Question details

The function *f(x)* = 200 · (1.078)^{x}
represents a village’s population while it is growing at the rate
of 8.8% per year.

- Create a table to show the village’s population at 0, 2, 4, 6, 8, and 10 years from now.
- Use your table to create a graph that represents the village’s population growth.
- When the population doubles from its current size, the village will need to dig a new water well. To the nearest half of a year, about how long before it is time for the village to dig the new well?