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Find and interpret the average rate of change illustrated in the graph. Select the correct choice below and fill in the answer box to complete your choice. O A. The average rate of change is $ OB. The average rate of change is $ per year. The machine value is decreasing $ per year. The machine value is increasing $ each year. each year. 20- 18+ 16- 14- J Value of Machine (in thousands of dollars) 12- 10- 8- 6- 4- 2- 2 4 6 8 10 12 14 16 18 20 Year

Find and interpret the average rate of change illustrated in the graph. Select the correct choice below and fill in the answer box to complete your choice. O A. The average rate of change is $ OB. The average rate of change is $ per year. The machine value is decreasing $ per year. The machine value is increasing $ each year. each year. 20- 18+ 16- 14- J Value of Machine (in thousands of dollars) 12- 10- 8- 6- 4- 2- 2 4 6 8 10 12 14 16 18 20 Year

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Title: Understanding Average Rate of Change in Graphs** **Introduction:** Learn how to find and interpret the average rate of change illustrated in a graph. This skill is essential for analyzing trends and predicting future behavior in various applications. --- **Instructions:** Select the correct choice below and fill in the answer box to complete your choice. **Options:** - **A.** The average rate of change is $[ \_\_\_ ]$ per year. The machine value is decreasing $[ \_\_\_ ]$ each year. - **B.** The average rate of change is $[ \_\_\_ ]$ per year. The machine value is increasing $[ \_\_\_ ]$ each year. --- **Graph Analysis:** - The graph shows the **Value of a Machine (in thousands of dollars)** over time (in years). - The y-axis represents the value of the machine, ranging from 0 to 20 (in thousands of dollars). - The x-axis represents time in years, ranging from 0 to 20. - The data points start at approximately $20,000 (year 0)$ and decrease to approximately $12,000 (year 4)$. - The trend line between these points is a downward slope, indicating a decrease in value over the observed period. **Conclusion:** Based on the slope of the line, you will determine the average rate of change. Once calculated, choose the correct option to indicate whether the value is decreasing or increasing annually.
Transcribed Image Text:**Title: Understanding Average Rate of Change in Graphs** **Introduction:** Learn how to find and interpret the average rate of change illustrated in a graph. This skill is essential for analyzing trends and predicting future behavior in various applications. --- **Instructions:** Select the correct choice below and fill in the answer box to complete your choice. **Options:** - **A.** The average rate of change is $[ \_\_\_ ]$ per year. The machine value is decreasing $[ \_\_\_ ]$ each year. - **B.** The average rate of change is $[ \_\_\_ ]$ per year. The machine value is increasing $[ \_\_\_ ]$ each year. --- **Graph Analysis:** - The graph shows the **Value of a Machine (in thousands of dollars)** over time (in years). - The y-axis represents the value of the machine, ranging from 0 to 20 (in thousands of dollars). - The x-axis represents time in years, ranging from 0 to 20. - The data points start at approximately $20,000 (year 0)$ and decrease to approximately $12,000 (year 4)$. - The trend line between these points is a downward slope, indicating a decrease in value over the observed period. **Conclusion:** Based on the slope of the line, you will determine the average rate of change. Once calculated, choose the correct option to indicate whether the value is decreasing or increasing annually.
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