Domain and Range of a Ferris Wheel: Explanation and Solution

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The discussion centers on determining the domain and range of a Ferris wheel with a radius of 7 meters and a highest point of 15.5 meters above the ground. The domain is correctly identified as D:{0<=t<=45}s, representing the time for one complete revolution. However, there is confusion regarding the range; one participant believes it should be R:{1.5<=h<=15.5}, while the answer key states R:{1.5<=h<=17.5}. The discrepancy arises from the calculation of the lowest point, which is 7 meters below the highest point, leading to the correct range being R:{1.5<=h<=17.5}. The discussion concludes with participants agreeing that the answer key may be incorrect if the question was stated accurately.
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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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