Distance From Home The graph of D(t) below shows the distance Fernanda is from home (in miles) after t minutes. Distance From Home (miles) 7 6 1 2 3 Time (minutes) 0 minutes to 4.5 minutes: 4.5 minutes to 9 minutes: 4 0 minutes to 9 minutes: || 5 6 Approximate the average rates of change over each of the following time intervals. Round to one decimal place. 7 miles per minute ✓ miles per minute 8 miles per minute ✓

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Distance From Home**

The graph of D(t) below shows the distance Fernanda is from home (in miles) after t minutes.

**Graph Description**

- **Axes**: 
  - The x-axis represents time in minutes, ranging from 0 to 9. 
  - The y-axis represents the distance from home in miles, ranging from 0 to 7.

- **Curve**: 
  - It is a downward-sloping curve that starts at approximately 6.8 miles at time 0 and curves down to about 0.8 miles at 9 minutes. This indicates that Fernanda is getting closer to home over time.

**Rates of Change Calculation**

Approximate the average rates of change over each of the following time intervals. Round to one decimal place.

- **0 minutes to 4.5 minutes**: ____ miles per minute
- **4.5 minutes to 9 minutes**: ____ miles per minute
- **0 minutes to 9 minutes**: ____ miles per minute

Each input is represented by a text box followed by a drop-down menu to select "miles per minute."
Transcribed Image Text:**Distance From Home** The graph of D(t) below shows the distance Fernanda is from home (in miles) after t minutes. **Graph Description** - **Axes**: - The x-axis represents time in minutes, ranging from 0 to 9. - The y-axis represents the distance from home in miles, ranging from 0 to 7. - **Curve**: - It is a downward-sloping curve that starts at approximately 6.8 miles at time 0 and curves down to about 0.8 miles at 9 minutes. This indicates that Fernanda is getting closer to home over time. **Rates of Change Calculation** Approximate the average rates of change over each of the following time intervals. Round to one decimal place. - **0 minutes to 4.5 minutes**: ____ miles per minute - **4.5 minutes to 9 minutes**: ____ miles per minute - **0 minutes to 9 minutes**: ____ miles per minute Each input is represented by a text box followed by a drop-down menu to select "miles per minute."
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