To find the predicted population in 4 years, we can use the current population and the annual increase to calculate the total population after 4 years.
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Current Population: \[ 9.79 \times 10^5 \text{ people} \]
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Annual Increase: \[ 1.3 \times 10^4 \text{ people per year} \]
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Total Increase over 4 Years: \[ 1.3 \times 10^4 \text{ people/year} \times 4 \text{ years} = 5.2 \times 10^4 \text{ people} \]
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Future Population Calculation: \[ \text{Future Population} = \text{Current Population} + \text{Total Increase} \] \[ = 9.79 \times 10^5 + 5.2 \times 10^4 \]
To add these, we need to express \(5.2 \times 10^4\) in the same power of ten as \(9.79 \times 10^5\):
\[ 5.2 \times 10^4 = 0.052 \times 10^5 \]
Now we can add: \[ 9.79 \times 10^5 + 0.052 \times 10^5 = (9.79 + 0.052) \times 10^5 = 9.842 \times 10^5 \]
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Converting to Scientific Notation: \[ 9.842 \times 10^5 = 0.9842 \times 10^6 = 0.9842 \times 10^6 \text{ (not a standard representation)} \] We can round \(0.9842\) to approximately \(1\) for simplicity.
So, the future population can be more directly estimated as: \[ \approx 1.0 \times 10^6 \text{ people} \]
Looking at the options:
- A. 1.031 × 10^6 people
- B. 1.499 × 10^11 people
- C. 1.499 × 10^6 people
- D. 10.31 × 10^10 people
The option A (1.031 × 10^6 people) is the closest estimate based on our calculations.
Thus, the best estimate for the city's population in 4 years is: A. 1.031 × 10^6 people.
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