The population of Flatland is increasing by 7% each year. The initial population is 312,000. We need to complete the table for the population for years 1, 2, and 3.

1. Problem Description

The population of Flatland is increasing by 7% each year. The initial population is 312,

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0. We need to complete the table for the population for years 1, 2, and

3.

2. Solution Steps

The population at year $n$ can be calculated using the formula:

$Population(n) = Population(0) * (1 + rate)^n$

where $Population(0)$ is the initial population, $rate$ is the growth rate, and $n$ is the number of years.

In this case, $Population(0) = 312000$ and $rate = 0.07$.

Year 1:

$Population(1) = 312000 * (1 + 0.07)^1$

$Population(1) = 312000 * 1.07$

$Population(1) = 333840$

Year 2:

$Population(2) = 312000 * (1 + 0.07)^2$

$Population(2) = 312000 * (1.07)^2$

$Population(2) = 312000 * 1.1449$

$Population(2) = 357196.8 \approx 357197$

Year 3:

$Population(3) = 312000 * (1 + 0.07)^3$

$Population(3) = 312000 * (1.07)^3$

$Population(3) = 312000 * 1.225043$

$Population(3) = 382113.496 \approx 382113$

3. Final Answer

Year 1: 333840

Year 2: 357197

Year 3: 382113