Question

this table shows a citys population each year from 2014 to 2020. complete the sentence to describe the average rate of change shown in the table.

year	population
2015	25,270
2016	25,160
2017	25,050
2018	24,820
2019	24,640
2020	24,390

the citys population by about people per year from 2014 to 2020.

Explanation:

Step1: Identify initial and final population and years

Initial year \(y_1 = 2014\), initial population \(P_1=25310\), final year \(y_2 = 2020\), final population \(P_2 = 24390\).

Step2: Calculate the number of years passed

The number of years \(n=y_2 - y_1=2020 - 2014 = 6\).

Step3: Calculate the change in population

\(\Delta P=P_2 - P_1=24390 - 25310=-920\).

Step4: Calculate the average rate of change

The average rate of change \(r=\frac{\Delta P}{n}=\frac{- 920}{6}\approx - 153.33\).

Answer:

The city's population decreased by about 153 people per year from 2014 to 2020.