The function f(x) = 200 Γ— (1.098)x represents a village's population while it is growing at the rate of 9.8% 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?

Accepted Solution

a) See the attached for a table and graph.

b) It will be 7.5 years before it is time to dig a new well.