Question

question 1 the following chart shows \living wage\ jobs in rochester per 1000 working age adults over a 5 year period. year 2016 2017 2018 2019 2020 jobs 640 690 725 745 755 what is the average rate of change in the number of living wage jobs from 2016 to 2018? jobs/year what is the average rate of change in the number of living wage jobs from 2018 to 2020? jobs/year question help: video

Explanation:

Part 1: Average rate of change from 2016 to 2018

Step 1: Identify values

For 2016, jobs = 640; for 2018, jobs = 725. Time difference: \(2018 - 2016 = 2\) years.

Step 2: Apply rate of change formula

The formula for average rate of change is \(\frac{\text{Change in Jobs}}{\text{Change in Years}}=\frac{725 - 640}{2018 - 2016}\)
Calculate numerator: \(725 - 640 = 85\)
Denominator: \(2018 - 2016 = 2\)
So, \(\frac{85}{2}=42.5\)

Part 2: Average rate of change from 2018 to 2020

Step 1: Identify values

For 2018, jobs = 725; for 2020, jobs = 755. Time difference: \(2020 - 2018 = 2\) years.

Step 2: Apply rate of change formula

Using \(\frac{\text{Change in Jobs}}{\text{Change in Years}}=\frac{755 - 725}{2020 - 2018}\)
Numerator: \(755 - 725 = 30\)
Denominator: \(2020 - 2018 = 2\)
So, \(\frac{30}{2}=15\)

Answer:

From 2016 to 2018: \(42.5\) Jobs/Year
From 2018 to 2020: \(15\) Jobs/Year