Question 3

Question

A county planner prepares the following table showing population trends in three local towns. The first column gives the name of the town. The second column gives the population as of the last census (A census is a count of people that live in a specific place). The third column gives the estimated increase or decrease in population since that census, expressed as a percentage of the previous population.

town population percentage change
pleasantville x -2%
amity center y +5%
harmony corners z +7%
3a. Ella wants to write an expression to figure out the estimated population in the town of Amity Center. Which expression could she use to figure this out?

(2 points)
Responses

y + 5
y + 5

y + (y x 0.05)
y + (y x 0.05)

y - (y x 0.05)
y - (y x 0.05)

y - 5

Answer 1

To find the estimated population in the town of Amity Center after a 5% increase, Ella would need to calculate 5% of the current population (y) and add that to the current population.

The correct expression to use is:

y + (y x 0.05)

This expression represents the current population (y) plus 5% of that population (which is calculated as y times 0.05).

So, the correct response is:

y + (y x 0.05)