Question

The population of Florida in 1990 was 4,877,185, and the population in 2010 was 6,346,105. Using the formula P = P₀(1 + r), which growth rate best represents the change in population between 1990 and 2010?

A. 2.442%
B. 1.262%
C. 1.325%
D. 2.668%

Answer 1

To find the growth rate, we can use the formula P = P₀(1 + r), where P is the final population, P₀ is the initial population, and r is the growth rate. In this case, the initial population in 1990 is 4,877,185 (P₀), and the final population in 2010 is 6,346,105 (P). The growth rate between 1990 and 2010 is approximately 30.1%.

Step-by-step explanation:

To find the growth rate, we can use the formula P = P₀(1 + r), where P is the final population, P₀ is the initial population, and r is the growth rate. In this case, the initial population in 1990 is 4,877,185 (P₀), and the final population in 2010 is 6,346,105 (P). We can rearrange the formula to solve for r: r = (P / P₀) - 1.

Substituting the values, we get r = (6,346,105 / 4,877,185) - 1 ≈ 0.301. Multiplying by 100 to convert to a percentage, the growth rate is approximately 30.1%. However, none of the given options match this value, so the best answer would be option E: None of the above.