A country’s population in 1992 was 50 million. In 2992 it was 53 million. Estimate the population in 2010 using the exponential growth formula. Round your answer to the nearest formula.
Accepted Solution
A:
Answer:P ≈ 56 millionStep-by-step explanation:Your question is attached in the picture below.The exponential formula for these cases isP = Po*e^(kt)Where,Po = initial populationk = is a constant used to define the growth ratet = time transcurred since the time of the initial populationFor this exercise,Po = 50 millionYear 20022002 - 1992 = 1053 million = 50 million *e^(k*10)(53/50) = e^(k*10)k*10 = ln(53/50)k = 0.005827The equation resultsP = 50 million *e^(0.005827*t)Year 20102010-1992 = 18P = 50 million *e^(0.005827*18)P = 50 million *(1.11058)P = 55.53 millionP ≈ 56 million