Question

A country population in 1992 was 39 million in 1997 it was 42 million estimate the population in 2009 using the exponential growth formula round your answer to the nearest million

Answer 1

76 Im pretty sure but im not 100 percent sure i remember this

Answer 2

50 million

Explanation:

Suppose the exponential growth formula that show the population after x years is,

`y=ab^x---(1)`

Let the population is estimated from 1992,

That is, for x = 0,

y = 39 millions ( given )

From equation (1),

`39=ab^0\implies a = 39`

Also, if x = 5, y = 42 millions ( population in 1997 was 42 million )

From equation (1),

`42=ab^5\implies 42=(39)b^5\implies b = 1.015`,

Thus, the required formula would be,

`y=39(1.015)^x`

If x = 17,

The population in 2009 would be,

`y=39(1.015)^(17)=50.2327929\approx 50`