The exponential model A=477e^0.009t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 536 million.

Answer 1

A = A₀e^kt

In this problem, you are solving for t given A:

A/A₀ = e^kt

ln(A/A₀) = kt

(1/k)ln(A/A₀) = t

Plug in 536 for A and t will be in years.

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