Answer:
2041
Step-by-step 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