The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period. Year 1997 1998 1999 2000 2001 Jobs 675 715 740 760 770 What is the average rate of change in the number of living wage jobs from 1997 to 1999? Jobs/Year What is the average rate of change in the number of living wage jobs from 1999 to 2001? Jobs/Year

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
### Chart Analysis: "Living Wage" Jobs in Rochester

The following chart shows the number of "living wage" jobs in Rochester per 1000 working-age adults over a 5-year period.

| Year | 1997 | 1998 | 1999 | 2000 | 2001 |
|------|------|------|------|------|------|
| Jobs | 675  | 715  | 740  | 760  | 770  |

**Explanation:**
The table presents data on the number of living wage jobs available per 1000 working-age adults in Rochester from 1997 to 2001. 

**Tasks:**
1. Calculate the average rate of change in the number of living wage jobs from 1997 to 1999.
2. Calculate the average rate of change in the number of living wage jobs from 1999 to 2001.

**Formulas and Solutions:**

1. **What is the average rate of change in the number of living wage jobs from 1997 to 1999?**

   To find the average rate of change, use the formula:
   \[
   \text{Average Rate of Change} = \frac{\text{Change in Number of Jobs}}{\text{Change in Years}}
   \]

   \[
   \text{Average Rate of Change} = \frac{740 - 675}{1999 - 1997} = \frac{65}{2} = 32.5 \text{ Jobs/Year}
   \]

2. **What is the average rate of change in the number of living wage jobs from 1999 to 2001?**

   Using the same formula:
   \[
   \text{Average Rate of Change} = \frac{770 - 740}{2001 - 1999} = \frac{30}{2} = 15 \text{ Jobs/Year}
   \]

Please fill in the answers:
- Average rate of change from 1997 to 1999: **32.5 Jobs/Year**
- Average rate of change from 1999 to 2001: **15 Jobs/Year**
Transcribed Image Text:### Chart Analysis: "Living Wage" Jobs in Rochester The following chart shows the number of "living wage" jobs in Rochester per 1000 working-age adults over a 5-year period. | Year | 1997 | 1998 | 1999 | 2000 | 2001 | |------|------|------|------|------|------| | Jobs | 675 | 715 | 740 | 760 | 770 | **Explanation:** The table presents data on the number of living wage jobs available per 1000 working-age adults in Rochester from 1997 to 2001. **Tasks:** 1. Calculate the average rate of change in the number of living wage jobs from 1997 to 1999. 2. Calculate the average rate of change in the number of living wage jobs from 1999 to 2001. **Formulas and Solutions:** 1. **What is the average rate of change in the number of living wage jobs from 1997 to 1999?** To find the average rate of change, use the formula: \[ \text{Average Rate of Change} = \frac{\text{Change in Number of Jobs}}{\text{Change in Years}} \] \[ \text{Average Rate of Change} = \frac{740 - 675}{1999 - 1997} = \frac{65}{2} = 32.5 \text{ Jobs/Year} \] 2. **What is the average rate of change in the number of living wage jobs from 1999 to 2001?** Using the same formula: \[ \text{Average Rate of Change} = \frac{770 - 740}{2001 - 1999} = \frac{30}{2} = 15 \text{ Jobs/Year} \] Please fill in the answers: - Average rate of change from 1997 to 1999: **32.5 Jobs/Year** - Average rate of change from 1999 to 2001: **15 Jobs/Year**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Rate of Change
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning