$\"\"$

Blood flow rate can be expressed as $\"\"$ , where $\"\"$ is the flow rate and $\"\"$ are the intial and final pressure exerted against the blood vessel $\"\"$ s walls and $\"\"$ is the resistance created by the size of the vessel.

Write an solve an equation of to determine the resistance of the blood vessel for an initial pressure of $\"\"$ millileters of mercury,a final pressure of $\"\"$ millimeters of mercury and a flow rate of $\"\"$ .

Here, $\"\"$ , $\"\"$ and $\"\"$ .

Find the resistance of the blood vessel:

$\"\"$ (Orginal equation)

$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Cancel common terms)

$\"\"$ (Divide each side by $\"\"$ )

$\"\"$ (Simplify)

Therefore, the expression to find the resistance is $\"\"$ and the resistance is $\"\"$ .

$\"\"$

Find Row 1 :

The resistance is $\"\"$ .

Find Row 2 :

Find flow rate.

$\"\"$ .

Here $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$ (Orginal equation)

$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

$\"\"$

$\"\"$ (Simplify)

Find Row 3 :

Find the intial pressure $\"\"$ :

Here, $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$ (Orginal equation)

$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Add $\"\"$ to each side)

$\"\"$ (Apply additive inverse property : $\"\"$ )

$\"\"$

Find Row 4 :

Find the final pressure $\"\"$ :

Here $\"\"$ , $\"\"$ and $\"\"$ .

$\"\"$ (Orginal equation)

$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

$\"\"$ (Multiply reciprocal)

$\"\"$ (Subtract $\"\"$ from each side)

$\"\"$ (Apply additive inverse property : $\"\"$ )

$\"\"$

Completed table :

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Initial pressure $\"\"$	Final pressure $\"\"$	Resistance $\"\"$	Flow rate $\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$

An expression to find the resistance is $\"\"$ and the resistance is $\"\"$ .

Tablular form :

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Initial pressure $\"\"$	Finial pressure $\"\"$	Resistance $\"\"$	Flow rate $\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$