Final answer:
To find when the population of the state will reach 23.3 million, we can use the information provided in the question. By calculating the population growth rate per year, we can determine how many years it will take for the population to reach the desired value. The given data about the ultimate population and the population at the mid-point is sufficient for this calculation.
Step-by-step explanation:
To find when the population of the state will reach 23.3 million, we can use the information provided in the question. The middle 12-year interval mentioned in Table 3.2 represents the mid-point of a logistic linear phase, where the population was 7 billion. The ultimate population is stated to be 14 billion. From this information, we can calculate the population growth rate per year and use it to determine when the population will reach 23.3 million.
Here are the steps to calculate the population growth rate:
- Calculate the population growth factor: ultimate population / population at the middle point = 14 billion / 7 billion = 2.
- Calculate the number of years from the middle point to the year when the population reaches 23.3 million: (logarithm base 2) (desired population / population at the middle point).
- Substitute the values: (logarithm base 2) (23.3 million / 7 billion) = (logarithm base 2) (0.0033286).
- Use a calculator or logarithm table to find the logarithm base 2 of the value obtained in the previous step.
Note: The actual population data provided in the question is not useful for solving this specific problem. The provided information about the ultimate population of 14 billion and the population of 7 billion at the mid-point is sufficient.