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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.

Sagot :

Semsee45idn

Answer:

796.2 million

(796,200,000)

Step-by-step explanation:

[tex]\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}}[/tex]

Given exponential function:

[tex]A=796.2e^{0.006t}[/tex]

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.

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