document.write( "Question 623150: Please help me solve this word problem of variation. The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversly as the distance d along the artery. If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased? \n" ); document.write( "

Algebra.Com's Answer #391949 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Write a proportion equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversely as the distance d along the artery.\"
\n" ); document.write( "R = $\"r%5E4%2Fd\"$
\n" ); document.write( ":
\n" ); document.write( "\"If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased?
\n" ); document.write( ":
\n" ); document.write( "Assuming the radius and the dist were both 1, we have
\n" ); document.write( "R = $\"1.25%5E4%2F%28.98%29\"$ = $\"2.44%2F.98\"$
\n" ); document.write( "R = 2.49 * 100 = 249% increase in blood flow
\n" ); document.write( " \n" ); document.write( "

\n" );