Domain and Range of a Ferris Wheel: Explanation and Solution

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Homework Help Overview

The discussion revolves around determining the domain and range of a Ferris wheel, characterized by a radius of 7 meters and a highest point of 15.5 meters above the ground, with a complete revolution taking 45 seconds.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty regarding the range, particularly questioning the discrepancy between their calculations and the answer key, which suggests a maximum height of 17.5 meters instead of 15.5 meters. There is also discussion about the function that relates the height of a point on the Ferris wheel to time.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the problem and questioning the validity of the answer key. Some have suggested that the original poster's understanding may be correct, while others are attempting to clarify the function involved.

Contextual Notes

Participants are working within the constraints of the problem as stated, with some expressing confusion over the provided information and the assumptions that may need to be made regarding the function of height over time.

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Homework Statement


Ferris wheel has radius of 7m and its highest point is 15.5 m off the ground. It takes 45 seconds to complete one revolution. State the domain and range.

Homework Equations

The Attempt at a Solution


I know that the domain is D:{0<=t<=45}s
But for the range I thought the range was R:{1.5<=h<=15.5} but in the answer key it says range is R:{1.5<=h<=17.5} and I'm having troubling understanding why it's 17.5? Can someone help me figure it out.
 
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Veronica_Oles said:

Homework Statement


Ferris wheel has radius of 7m and its highest point is 15.5 m off the ground. It takes 45 seconds to complete one revolution. State the domain and range.

Homework Equations

The Attempt at a Solution


I know that the domain is D:{0<=t<=45}s
But for the range I thought the range was R:{1.5<=h<=15.5} but in the answer key it says range is R:{1.5<=h<=17.5} and I'm having troubling understanding why it's 17.5? Can someone help me figure it out.
What is the function ?
 
SammyS said:
What is the function ?
That is not provided in the question, unless I have to find it?
 
Veronica_Oles said:
That is not provided in the question, unless I have to find it?
What is it in words ?
 
SammyS said:
What is it in words ?
Is not the question?
 
I can guess that you are referring to the domain and range of the function which relates the elevation of some point on the Farris Wheel to time. But it's just a guess on my part.

If this is the case, then you are referring to the elevation of said point as a function of time, as the Farris Wheel rotates.
 
Veronica_Oles said:

Homework Statement


Ferris wheel has radius of 7m and its highest point is 15.5 m off the ground. It takes 45 seconds to complete one revolution. State the domain and range.

Homework Equations

The Attempt at a Solution


I know that the domain is D:{0<=t<=45}s
But for the range I thought the range was R:{1.5<=h<=15.5} but in the answer key it says range is R:{1.5<=h<=17.5} and I'm having troubling understanding why it's 17.5? Can someone help me figure it out.

If you stated the question correctly, then your answer is right and the answer key is wrong.
 
Ray Vickson said:
If you stated the question correctly, then your answer is right and the answer key is wrong.
That's what I was thinking. Thanks though.
 

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