To solve these questions, let's first clarify what the variables and expressions represent.
3a. To estimate the population of Amity Center based on the last census and the percentage change, we can let "y" represent the last census population.
If there is an increase or decrease in population expressed as a percentage, we would calculate it this way:
- For an increase: \( \text{New Population} = y + (y \times \text{Percentage Change}) \)
- For a decrease: \( \text{New Population} = y - (y \times \text{Percentage Change}) \)
The specific expression would depend on whether Amity Center has an increase or a decrease in population, which is unspecified in your question.
However, generally, using \( y - (y \times 0.05) \) implies a decrease of 5%. Thus, if "y" represents the last census population and the estimated change is a decrease by 5%, the right expression to use would be:
- y - (y x 0.05).
Response: y - (y x 0.05)
3b. To calculate the estimated current population of Harmony Corners, we need to apply the percentage change to the previous census population given as 6,500 people. However, I do not have the percentage change value for Harmony Corners.
Let's say the percentage decrease provided was a certain percentage, e.g., "p%." The calculation would be as follows:
- New Population = Previous Population - (Previous Population x Percentage Change)
- New Population = 6,500 - (6,500 x p%)
If we were to apply a percentage example of a 30% decrease:
- New Population = 6,500 - (6,500 x 0.30) = 6,500 - 1,950 = 4,550
Since the options you provided indicate that you might be working with a specific percentage decrease, if Harmony Corners was shown to have a decrease of 30%, the calculation would indeed lead to:
- Response: 4,550 people.
However, you'd need the exact percentage change for Harmony Corners from your original table to calculate the actual answer accurately. Please ensure you apply the correct percentage!
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