Multiple choice

The population of certain species increases by 14% per year. If the current population of the species is 780, find the population of the species after 3 years to the nearest whole number.

  1. 1084

  2. 1156

  3. 1274

  4. 1326
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B Correct answer
Explanation

The population after 3 years is 780 * (1 + 0.14)^3 = 780 * (1.14)^3. Calculating 1.14^3 = 1.481544. Then 780 * 1.481544 = 1155.60432, which rounds to 1156.

AI explanation

Using the compound growth formula, Final Population equals Initial Population multiplied by (1 plus Rate divided by 100) raised to the number of years. We calculate 780 multiplied by 1.14 cubed. This gives 780 multiplied by 1.481544, resulting in 1155.6. The population of the species after 3 years to the nearest whole number is 1156.

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