Question

The exponential model A = 270.4 e⁰.⁰¹⁶ᵗ 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.

a. The population of the country in 2003 was___million.

Answer 1

The population of the country in 2003 was 270.4 million.

Step-by-step explanation:

The exponential model A = 270.4 e⁰.⁰¹⁶ᵗ represents the population, A, of a country in millions, t years after 2003.

To determine the population of the country in 2003, we need to substitute 0 for t in the formula:

A = 270.4 e⁰.⁰¹⁶(0)

Since any number raised to the power of 0 is equal to 1, the equation simplifies to:

A = 270.4 * 1

A = 270.4 million

Therefore, the population of the country in 2003 was 270.4 million.