Answer:
The population would be 233 million ( approx )
Step-by-step explanation:
Let the function that shows the population ( in millions ) after x years,
[tex]f(x)=ab^x[/tex]
Suppose the population is estimated from 1995,
That is, for 1995,
x = 0,
Given, y = 228 for 1995,
[tex]228=ab^0\implies a = 228[/tex]
Now, years from 1995 to 2001 = 6,
For x = 6, y = 230,
[tex]230=ab^6[/tex]
[tex]230=228(b)^6[/tex]
[tex]\implies b =1.00145667325\approx 1.00146[/tex]
Hence, the equation that shows the given scenario is,
[tex]y=228(1.00146)^x[/tex]
If x = 15,
[tex]y=228(1.00146)^{15}=233.044554776\approx 233[/tex]
Hence, the estimated population in 2010 would be 233.
