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
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!!! - Abby, Sunday, June 1, 2008 at 1:16am
however, how is it related to word problems???
Math...PLEASE HELP!!! - Damon, Sunday, June 1, 2008 at 10:03am
Make one up with a spring and make one up with gravity.