Question

The exponential model A = 796.2e0.006t 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.

Answer 1

Answer:

796.2 million

(796,200,000)

Step-by-step explanation:

$\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function with base e }\\\\ y=ae^{kx} \\\\where:\\\phantom{ww} \bullet a is the initial value ( y -intercept). \\ \phantom{ww} \bullet e is Euler's number. \\ \phantom{ww} \bullet k is some constant.\\\end{minipage}}$

Given exponential function:

$A=796.2e^{0.006t}$

where:

• A is the population of the country in millions.
• t is the number of years after 2003.

The initial value is 796.2, which means the population of the country in 2003 was 796.2 million.