Let's choose Pleasantville for this example.
The population of Pleasantville as of the last census is \( x \), and the population has decreased by 2%. To find the current estimated population, we can use the percentage change.
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The decrease in population can be calculated as: \[ \text{Decrease} = x \times \left(\frac{-2}{100}\right) = -0.02x \]
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To find the current estimated population, we subtract the decrease from the last census population: \[ \text{Current Population} = x + (-0.02x) = x - 0.02x = 0.98x \]
So, the two expressions to show the current estimated population for Pleasantville are:
- The decrease in population: \( -0.02x \)
- The current estimated population: \( 0.98x \)
Now let’s look at another town, Amity Center.
The population of Amity Center as of the last census is \( y \), and the population has increased by 5%. To find the current estimated population, we can again use the percentage change.
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The increase in population can be calculated as: \[ \text{Increase} = y \times \left(\frac{5}{100}\right) = 0.05y \]
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To find the current estimated population, we add the increase to the last census population: \[ \text{Current Population} = y + 0.05y = 1.05y \]
So, the two expressions for Amity Center are:
- The increase in population: \( 0.05y \)
- The current estimated population: \( 1.05y \)
Finally, for Harmony Corners:
The population of Harmony Corners as of the last census is \( z \), and the population has increased by 7%.
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The increase in population can be calculated as: \[ \text{Increase} = z \times \left(\frac{7}{100}\right) = 0.07z \]
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To find the current estimated population, we add the increase to the last census population: \[ \text{Current Population} = z + 0.07z = 1.07z \]
So, the two expressions for Harmony Corners are:
- The increase in population: \( 0.07z \)
- The current estimated population: \( 1.07z \)
In summary, you can use these approaches to calculate the current estimated populations for each town based on their respective changes.