SOLUTION: The population of Stratford is growing exponentially. In the year 2005, the population was 235,000 people. In the year 2016 the population had grown to 308,340. a) Find the equat

Algebra ->  Test -> SOLUTION: The population of Stratford is growing exponentially. In the year 2005, the population was 235,000 people. In the year 2016 the population had grown to 308,340. a) Find the equat      Log On


   

Question 1055302: The population of Stratford is growing exponentially. In the year 2005, the population was 235,000 people. In the year 2016 the population had grown to 308,340.
a) Find the equation that models the growth of the city
b) Predict the population of the city in the years 2025 and 2000
Show every step please
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=ae%5Ebx
So then,
235000=ae%5Eb%280%29
a=235000
So then 2005 is year 0, then 2016 will be year 11.
308340=235000e%5E%2811b%29
e%5E%2811b%29=1.3124681
11b=0.27191
b=0.02472
So then,
y=235000e%5E%280.02472x%29
2025 would be year 20.
2020 would be year 15.
So for year 20,
y=235000e%5E%280.02472%2820%29%29
y=385278
Now do it for the year 15 in the same way.