In 2005, for each of the 14 million people present in a country, `0.028` were born and `0.008` died during the year. Using exponential equation, the number of people present in 2015 is predicted as

Options

A. 25 millions
B. 17 millions
C. 20 millions
D. 18 millions

Explanation

To solve the problem of predicting the population in 2015 based on the given birth and death rates, we can follow these steps:

### Step 1: Identify the initial population and rates
- The initial population in 2005 is given as 14 million.
- The birth rate is 0.028 (28 births per 1000 people).
- The death rate is 0.008 (8 deaths per 1000 people).

### Step 2: Calculate the net growth rate
- To find the net growth rate (r), we subtract the death rate from the birth rate:
\[ r = \text{birth rate} - \text{death rate} = 0.028 - 0.008 = 0.020 \]

### Step 3: Determine the time period for growth
- The time period from 2005 to 2015 is 10 years.

### Step 4: Calculate the population growth over 10 years
- The formula for population growth using the net growth rate is:
\[ \text{Population increase} = r \times n \times t \]
where:
- \( n \) is the initial population (14 million),
- \( t \) is the time period (10 years).

- Plugging in the values:
\[ \text{Population increase} = 0.020 \times 14,000,000 \times 10 \]
\[ = 0.020 \times 140,000,000 = 2,800,000 \]

### Step 5: Calculate the total population in 2015
- Now, we add the population increase to the initial population:
\[ \text{Total population in 2015} = \text{Initial population} + \text{Population increase} \]
\[ = 14,000,000 + 2,800,000 = 16,800,000 \]

### Step 6: Round the final answer
- Rounding 16,800,000 gives approximately 17 million.

### Final Answer
The predicted population in 2015 is approximately **17 million**.

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