Q:

The formula for blood flow rate is given by F = P1 P2, where F is the flow rate, P1 theinitial pressure, p2 the final pressure, and r the resistance created by blood vessel size.Which formula can not be derived from the given formula?A. Pi = Fr + P2B. P2 = P2 - Frc. r = f(P2 - P.)D. r = P2P2

Accepted Solution

A:
Answer:Option C) [tex]r=F(P_2-P_1)[/tex]Step-by-step explanation:We are given the following information in the question:The formula for blood flow rate is given by:[tex]F = \displaystyle\frac{P_1-P_2}{r}[/tex]where [tex]P_1[/tex] the  initial pressure, [tex]P_2[/tex] the final pressure, and r the resistance created by blood vessel size. We have to find a similar formula that can be derived from the given formula:[tex]F = \displaystyle\frac{P_1-P_2}{r}\\\\Fr = P_1 - P_2\\\text{Rearranging terms}\\P_1 = Fr + P_2\\P_2 = P_1 - Fr\\\\r = \frac{P_1-P_2}{F}[/tex]Thus, Option C) is the only formula that cannot be derived from he given expression.