Math  /  Algebra

Question3. The population of the People's Republic of China has been doubling approximately every sixty years. The population in 1975 was about 824000000 . If the current growth rate continues, what will the population be in 2215?2215 ?

Studdy Solution
Use the doubling formula to calculate the future population.
The formula for population growth with doubling is: P=P0×2n P = P_0 \times 2^n
Where: - P0 P_0 is the initial population (824,000,000 in 1975). - n n is the number of times the population doubles (4 times).
Substitute the values: P=824,000,000×24 P = 824,000,000 \times 2^4
Calculate 24 2^4 : 24=16 2^4 = 16
Calculate the future population: P=824,000,000×16 P = 824,000,000 \times 16
P=13,184,000,000 P = 13,184,000,000
The estimated population in the year 2215 will be:
13,184,000,000 \boxed{13,184,000,000}

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