9. Dashiell is taking a walk around the neighborhood and tracks his location using an app. Consider the graph of his walk where the y-axis represents his distance from home and the z-axis represents the time that has passed in minutes. His graph intersects the line y-1 exactly twice once at (23,1) and again at (48,1). Interpret the meaning of these intersections in the context of this problem

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

Dashiell is taking a walk around the neighborhood and tracks his location using an app. Consider the graph of his walk where the \( y \)-axis represents his distance from home and the \( x \)-axis represents the time that has passed in minutes. His graph intersects the line \( y = 1 \) exactly twice, once at \( (23, 1) \) and again at \( (48, 1) \). Interpret the meaning of these intersections in the context of this problem.

**Interpretation:**

In the context of the problem, the intersections of the graph with the line \( y = 1 \) represent the times at which Dashiell is 1 unit of distance away from home. The first intersection at \( (23, 1) \) indicates that 23 minutes into his walk, Dashiell is 1 unit away from home. The second intersection at \( (48, 1) \) indicates that 48 minutes into his walk, he is again 1 unit away from home.

This suggests that Dashiell might have walked to a point 1 unit away from home, continued his walk to a farther point, and then walked back, passing the 1 unit distance again at 48 minutes.
Transcribed Image Text:**Problem Statement:** Dashiell is taking a walk around the neighborhood and tracks his location using an app. Consider the graph of his walk where the \( y \)-axis represents his distance from home and the \( x \)-axis represents the time that has passed in minutes. His graph intersects the line \( y = 1 \) exactly twice, once at \( (23, 1) \) and again at \( (48, 1) \). Interpret the meaning of these intersections in the context of this problem. **Interpretation:** In the context of the problem, the intersections of the graph with the line \( y = 1 \) represent the times at which Dashiell is 1 unit of distance away from home. The first intersection at \( (23, 1) \) indicates that 23 minutes into his walk, Dashiell is 1 unit away from home. The second intersection at \( (48, 1) \) indicates that 48 minutes into his walk, he is again 1 unit away from home. This suggests that Dashiell might have walked to a point 1 unit away from home, continued his walk to a farther point, and then walked back, passing the 1 unit distance again at 48 minutes.
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