Complete the table for population growth model. Solve for K

Question

2005 population (millions) = 15.7

Projected 2025 population (millions)= 33.7

Projected growth rate: K

Solve for K

Answer 1

Pop₂₀₂₅=Pop₂₀₀₅ × (1+g)^N Where g is the growth rate and N is the number of years the growth occurs.

33.7=15.7 × (1+g)²⁰ Solve for g by first dividing both sides by 15.7.

(33.7 ⁄ 15.7)= (1+g)²⁰ Now we must clear the parenthesis on the right side by taking the Nth route and raising the left side to the ^(1/Nth) power.

(33.7 ⁄ 15.7)^(1/20) = 1+g Now, subtract one from both sides.

(33.7 ⁄ 15.7)^(1/20) -1 = g

The growth rate is 3.893053908%