If the world population is estimated to be 7 billion in 2011, and is growing at a rate of 1.2%,when is the population likely to hit the 10 billion mark? a) 2140 b) 2041 c) 2195 d) 2184

2041

Explanation:

The given information tells you an exponential model can be written as ...

... y = 7·1.012^(x-2011)

where y is the population in billions and x is the year.

Filling in the question information and solving for x, we get ...

... 10 = 7·1.012^(x -2011)

... 10/7 = 1.012^(x -2011) . . . . . divide by 7

... log(10/7) = (x -2011)·log(1.012) . . . . take the log of both sides

... log(10/7)/log(1.012) = x -2011 . . . . divide by log(1.012)

... 2011 + log(10/7)/log(1.012) = x ≈ 2040.9 ≈ 2041

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Lot of points 7.34 your welcome