Town Census Population Percentage Change

Question

Pleasantville x –2%
Amity Center y +5%
Harmony Corners z +7%

Add a fourth row to the table showing the population information for the town
of Concord. Concord’s population as of the last census was p people; for its
percentage change, choose a negative integer not divisible by two. Write two
expressions showing the current estimated population of Concord in terms of p

Answer 1

To add a row for the town of Concord to the table and provide the requested expressions for its current estimated population, we can choose a negative integer for the percentage change. Let's say Concord's percentage change is -3%.

Here’s the updated table with the row for Concord:

| Town | Census Population | Percentage Change | |-------------------|-------------------|-------------------| | Pleasantville | x | -2% | | Amity Center | y | +5% | | Harmony Corners | z | +7% | | Concord | p | -3% |

Now, to express the current estimated population of Concord in terms of \( p \):

1. The first expression can represent the population after the percentage change is applied: \[ \text{Current Population of Concord} = p (1 - 0.03) = p \times 0.97 \]

2. The second expression can also represent it in a slightly different form: \[ \text{Current Population of Concord} = p - (0.03 \times p) = p - 0.03p = 0.97p \]

Both expressions show the current estimated population of Concord after accounting for the -3% change.