Town Census Population Percentage Change

Question

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

. Choose one of these towns. Use the second and third columns to write two
expressions showing the current estimated population of the town in terms of
x, y, or z.

Answer 1

Let's choose Amity Center, which has a population represented by \( y \) and has experienced a +5% change.

1. Expression for the current estimated population after a +5% increase:

   If the original population is \( y \), then the current population after a 5% increase can be expressed as: \[ y + 0.05y = 1.05y \]

2. Expression as an alternative using the percentage change:

   Alternatively, the current population can be expressed as: \[ y \times (1 + 0.05) = y \times 1.05 \]

So, the two expressions showing the current estimated population of Amity Center in terms of \( y \) are:

1. \( 1.05y \)
2. \( y \times 1.05 \)