Question 1

Question

Question 3

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.

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
y - 5
Question 2






3b. Based on the percentage change in the chart above, calculate the estimated current population of Harmony Corners if the previous census showed 6,500 people living in that town.

(3 points)
Responses

4,550 people
4,550 people

6,507 people
6,507 people

6,955 people
6,955 people

11,050 people
11,050 people
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Answer 1

To address the questions based on the information provided:

Question 3a

To write an expression for the estimated population in the town of Amity Center, we need to consider the population as of the last census and the estimated percentage increase or decrease. The response options typically reflect these kinds of calculations.

If we assume that "y" represents the population from the last census and the percentage change for Amity Center is an increase of 5%, the expression for the estimated population would be:

• y + (y x 0.05)

If it were a 5% decrease instead, the expression would have been:

• y - (y x 0.05)

Since we don't have the percentage change that was provided in your initial scenario, the correct response depends on whether it's an increase or decrease. But if we had the increase:

Correct Response:

• y + (y x 0.05) (if it’s an increase)

or

• y - (y x 0.05) (if it’s a decrease)

Question 3b

For the estimated current population of Harmony Corners, we need to calculate based on a previous census population of 6,500 people. Without the percentage change from the table for Harmony Corners, I will demonstrate both increase and decrease scenarios assuming hypothetical percentage changes.

For example, if Harmony Corners had a decrease of 30% since the last census:

1. First, calculate the decrease: \[ \text{Decrease} = 6,500 \times 0.30 = 1,950 \]
2. Then, subtract that decrease from the original population: \[ \text{Estimated Population} = 6,500 - 1,950 = 4,550 \]

If the percentage decrease is 30%, then the correct answer would be:

Correct Response:

• 4,550 people

If you can provide the actual percentage change for Harmony Corners listed in the initial table, I can better help you calculate the correct population estimate!