Question 623150
Write a proportion equation for each statement
:
"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."
R = {{{r^4/d}}}
:
"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?
:
Assuming the radius and the dist were both 1, we have
R = {{{1.25^4/(.98)}}} = {{{2.44/.98}}}
R = 2.49 * 100 = 249% increase in blood flow