Variation in Real World Examples: Types, Features, and Relationships

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The discussion revolves around creating a poster for a variation assignment that includes real-world examples of direct, inverse, joint, and part variation. Participants seek suggestions for relevant examples, emphasizing the need to explain the type of variation, its characteristics, and the mathematical relationships between variables. Suggested topics include road tolls, smoking, geometrical and biological relationships, and literacy rates. A reference link is provided to assist in understanding the variations. The conversation highlights the challenge of finding suitable examples and explanations for the assignment.
drunkenfool
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URGENT maths - variation assignment

HEy got to make a poster and contain at least 3 'real' examples of variation. Direct, inverse, joint, part variation should be featured.
for each example show
-the type of variation,
- an explantion of that particular type of variation, and the characteristic features,
- how we can tell that we have that type of variation,
- the variables which are related to each other, expressed mathematically

[some ideas are road toll, smoking, geometrical relationships, biological relationships, chemical relationships, physics relationships, literacy rates, drug and alcohol spending, football memberships, etc.]

ive tried looking for them examples and others but not reli gettin anywhere...

anyone got any ideas?
 
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Are you familiar with the concept of a parameter varying directly or inversely compared to its input?
Here is one reference that may give you some ideas about 3 of the variations you mentioned.
---> http://old.hsu.edu/faculty/lloydm/classes/gchandouts/variation_handout.htm
 
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yeah that's kinda good thannks ouchie
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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