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FrozenT [24]
3 years ago
6

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
Advanced Placement (AP)
2 answers:
shusha [124]3 years ago
8 0

Answer:

it is 2041

Explanation:

GrogVix [38]3 years ago
6 0

Answer


B) 2041


Explanation:

The rate of growth per year is 1.2% which means after first year the population will be


                   7+ 7×(1.2/100)


After second year


                   7×1.012 +7×1.012 (1.2/100)


                  =7×1.012  (1+1.2/100)


                   =7×1.012  (1.012)


                   =7×1.012  ×1.012  


Similarly, after third year it will be as:


                    =7×1.012  ×1.012 ×1.012    

So our after x year the growth will be


                       7 (1.012)^x  

We need to find, when the value will be 10 billion so our equation will be as:


                       10=7×(1.012)^x

                We can solve it easily here.  

                       10/7= (1.012)^x

                Take log on both sides


                   ㏒  10/7 = ㏒(1.012^x)


                   ㏒  10/7 = ㏒(1.012^x)


                   ㏒  10/7  ÷㏒(1.012) = x

                    x =29.90 ≈ 30


Conclusion:


So it will take 30 years to take the world population to reach 10 billion if the rate of growth is 1.2%. Thus 2011 + 30 = 2041 is the correct answer.  


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