A country’s population 1994 was 52 million. In 2000 it was 55 million. Estimate the population in 2003 using the exponential growt

1 thought on “A country’s population 1994 was 52 million. In 2000 it was 55 million. Estimate the population in 2003 using the exponential growt”

1. Answer:

   Popul@1994 = 52,000,000

   P@2000 = 55,000,000

   P@2003 = ?

   r = ?

   Equation: P = Po * e^(rt)

   —–

   Solve r:

   P/Po = e^(rt)

   ln(P/Po) = rt

   r = ln(P/Po)/t

   r = ln(P@2000/P@1994)/(2000-1994)

   r = ln(55M/52M)/6

   r = 0.009348

   —-

   Solve for P@2003

   t = 2003 – 1994 = 9

   P@2003 = P@1994 * e^(rt)

   P@2003 = 52M * e^(0.009348*9)

   P@2003 = 56,564,292.9

   approximately 57M.

   Step-by-step explanation:

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