Posted by **Abby** on Saturday, May 31, 2008 at 6:47pm.

What are the connections to word problems for direct and Inverse Variations and why are they functions?

- Math...PLEASE HELP!!! -
**drwls**, Saturday, May 31, 2008 at 7:04pm
I really don't understand your question. If there is a direct or inverse relationship between two variables, either the word problem will say so or it will be obvious from laws of physics or logic.

- Math...PLEASE HELP!!! -
**Abby**, Saturday, May 31, 2008 at 7:23pm
it's like how are word problems related to direct or inverse variations?...like when would you use it and how would you use it in a word problem...about the function part...my guess was that whatever output you have, the input will never be the same...is that right?

- Math...PLEASE HELP!!! -
**Damon**, Saturday, May 31, 2008 at 9:05pm
If you have one output for every input, the output is a function of the input.

Direct variation means that the absolute value of the output goes up with the input.

For example with a spring, the further ou push it, the harder it pushes back.

F = -k x

force varies directly with distance x

or

Potential energy U increases with square of distance

U = (1/2) k x^2

Potential energy again varies directly with distance x

Inverse variation means that the absolute value of output goes down as

the input goes up.

For example with gravity the Force on mass m dues to mass M a distance D away is

F = G m M/D^2

so the force varies inversely with distance and is proportional to 1/distance squared.

- Math...PLEASE HELP!!! -
**Damon**, Sunday, June 1, 2008 at 10:03am
Make one up with a spring and make one up with gravity.

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