document.write( "Question 375122: My algebra teacher is having me retake a test on inderect and inverse variation. I have no clue how to do inderect and inverse variation. Can you help me find out? \n" ); document.write( "

Algebra.Com's Answer #266764 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
First off, \"indirect \" variation and \"inverse\" variation mean exactly the same thing.
\n" ); document.write( "What is it.
\n" ); document.write( "When one quantity decreases as another quantity increases, the two quantities are said to vary inversely or indirectly.
\n" ); document.write( "Here's an example:
\n" ); document.write( "The air temperature goes down the higher you go.
\n" ); document.write( "So as the height increases, the temperature decreases.
\n" ); document.write( "We say that the air temperature varies inversely (indirectly) as the height.
\n" ); document.write( "You can write this algebraically as: (h = height and T = temperature)
\n" ); document.write( " $\"T+=+k%2Fh\"$ The k is called the constant of variation and its value will depend upon the initial values of h and T that are provided in the problem.
\n" ); document.write( "For example, if you are told that the air temperature is 30 degrees farenheit at a height of 10,000 feet, you have enough information to find the value of k, the constant of variation.
\n" ); document.write( " $\"T+=+k%2Fh\"$ Substitute T = 30 and h = 10,000
\n" ); document.write( " $\"30+=+k%2F10000\"$ Multiply both sides by 10,000
\n" ); document.write( " $\"k+=+300000\"$ so the equation now is:
\n" ); document.write( " $\"T+=+300000%2Fh\"$ and this allows you to find the air temperature at any height, h.
\n" ); document.write( " \n" ); document.write( "

\n" );