Ivan is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Ivan has 58 miles to his destination after 40 minutes of driving, and he has 38.5 miles to his destination after 66 minutes of driving. How many miles will he have to his destination after 72 minutes of driving? Remaining distance l miles (in miles) Driving time (in minutes)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Title: Application Problem with a Linear Function: Finding a Coordinate

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**Problem Statement:**

Ivan is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Ivan has 58 miles to his destination after 40 minutes of driving, and he has 38.5 miles to his destination after 66 minutes of driving. How many miles will he have to his destination after 72 minutes of driving?

**Graph Explanation:**

- **Axes:**
  - The vertical axis represents the "Remaining distance (in miles)."
  - The horizontal axis represents the "Driving time (in minutes)."

- **Line Plot:**
  - A straight line is depicted on the graph, illustrating a linear relationship between the driving time and the remaining distance.
  
**Interactive Components:**

- An input box is available for students to enter their answer in miles.
- Buttons for additional features: 
  - "Explanation" offers hints or solutions.
  - "Check" allows students to verify their answer.

### Additional Information:

The website uses engaging visual aids and interactive elements to facilitate understanding and application of linear functions, assisting students in grasping how changes in time relate to distance in a practical scenario.
Transcribed Image Text:Title: Application Problem with a Linear Function: Finding a Coordinate --- **Problem Statement:** Ivan is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Ivan has 58 miles to his destination after 40 minutes of driving, and he has 38.5 miles to his destination after 66 minutes of driving. How many miles will he have to his destination after 72 minutes of driving? **Graph Explanation:** - **Axes:** - The vertical axis represents the "Remaining distance (in miles)." - The horizontal axis represents the "Driving time (in minutes)." - **Line Plot:** - A straight line is depicted on the graph, illustrating a linear relationship between the driving time and the remaining distance. **Interactive Components:** - An input box is available for students to enter their answer in miles. - Buttons for additional features: - "Explanation" offers hints or solutions. - "Check" allows students to verify their answer. ### Additional Information: The website uses engaging visual aids and interactive elements to facilitate understanding and application of linear functions, assisting students in grasping how changes in time relate to distance in a practical scenario.
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