Question

the exponential model a = 378.3e^{0.005t} describes the population, a, of a country in millions, t years after 2003. use the model to determine the population of the country in 2003.
the population of the country in 2003 was million.

Explanation:

Step1: Determine the value of t

In 2003, \(t = 0\) since \(t\) is the number of years after 2003.

Step2: Substitute t into the model

Substitute \(t = 0\) into \(A=378.3e^{0.005t}\), we get \(A = 378.3e^{0.005\times0}\).
Since \(e^{0}=1\), then \(A = 378.3\times1=378.3\).

Answer:

378.3