Question

The population of a small town on January 1, 2005, was 7,200. On January 1, 2006, the population was 7,416. On January 1, 2007, the population became 7,639, and on January 1, 2008, the population was 7,867.
If the population continues with the same trend, how many people should the town have in the year 2011? Round your answer to the nearest whole number.

9,676

4,658

8,597

14,365

77,149​

Answer 1

Answer:

  (c)  8597

Step-by-step explanation:

A tool for regression analysis shows the given population values fit an exponential curve better than they fit a line. The exponential function for the population can be written as approximately ...

  p(x) = 6211.54(1.02998^x) . . . . . x is years after 2000

Then for x=11, the population is about ...

  p(11) ≈ 8596.4

The closest answer choice is 8597.