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. 

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

Answer 1

To answer the questions based on the information provided:

3a

To find the estimated population in the town of Amity Center, Ella would need to account for either an increase or decrease in the population based on the percentage change. If we assume that 'y' represents the population from the last census and the estimated change is a certain percentage (5% in the options provided), the correct expression to figure out the population after a decrease of 5% would be:

y - (y x 0.05)

This expression reflects the reduction in population due to the percentage decrease.

3b

To calculate the estimated current population of Harmony Corners when the previous census showed 6,500 people living there, we need to know the percentage change from the previous census (not given in the text you provided). Assuming that you have a certain percentage change (let’s say it’s a decrease of 30% as an example for calculation's sake):

1. Calculate the decrease:
   • Decrease = 6,500 x 0.30 = 1,950
2. Subtract the decrease from the original population:
   • Estimated Current Population = 6,500 - 1,950 = 4,550

Assuming a 30% decrease, the estimated current population would be 4,550 people.

If you had a different percentage change (e.g., 5% increase or any other percentage), you would use that to perform the calculation similarly. However, based on the response options, if the percentage change was indeed a 30% decrease, then 4,550 is correct.

If there is a specific percentage change provided in the original table (which isn’t included here), please share it so the calculation can be adjusted accordingly.

In summary:

• 3a: y - (y x 0.05)
• 3b: 4,550 people (if the percentage change corresponds to a decrease of 30% from 6,500).