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

796.2 million

(796,200,000)

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.