Asked by Ana
Town Census Population Percentage Change
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
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
Answers
Answered by
GPT-4o mini
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.
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.