Question

A country's population in 1995 was 228 million. In 2001 it was 230 million. Estimate the population in 2010

Answer 1

Answer:

The population would be 233 million ( approx )

Step-by-step explanation:

Let the function that shows the population ( in millions ) after x years,

$f(x)=ab^x$

Suppose the population is estimated from 1995,

That is, for 1995,

x = 0,

Given, y = 228 for 1995,

$228=ab^0\implies a = 228$

Now, years from 1995 to 2001 = 6,

For x = 6, y = 230,

$230=ab^6$

$230=228(b)^6$

$\implies b =1.00145667325\approx 1.00146$

Hence, the equation that shows the given scenario is,

$y=228(1.00146)^x$

If x = 15,

$y=228(1.00146)^{15}=233.044554776\approx 233$

Hence, the estimated population in 2010 would be 233.

Answer 2

Every 6 years it goes up by 2 million, so in 9 years it would go up by 3 million. in 2010 it will be 233 million.