SOLUTION: In 2000, a company had 1140 stores nationwide. By 2002, this total had grown to 1549. If the number of stores continues to grow exponentially at the same rate, how many stores will

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: In 2000, a company had 1140 stores nationwide. By 2002, this total had grown to 1549. If the number of stores continues to grow exponentially at the same rate, how many stores will      Log On


   

Question 1116051: In 2000, a company had 1140 stores nationwide. By 2002, this total had grown to 1549. If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Two years change, 409 increased stores

1549=1140%2Ab%5E2
b%5E2=1549%2F1140
b%5E2=1.3587719
b=1.16566

Year 2002 to year 2016 is 14 years change.
Q=1549%28b%5E4%29
Q=1549%2A%281.16566%5E14%29
%29

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


The growth rate over 2 years is 1549/1140. From 2000 to 2016 is 8 2-year periods. So the number of stores predicted for 2016 is

1140%2A%281549%2F1140%29%5E8+=+13246