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The formula for the blood flow rate can be described by the formula F = (p- q)/R, where F represents the blood flow rate, p represents the pressure in the inlet, q represents the pressure in the outlet, and R represents the vascular resistance.
Use to answer question #1 & #2

Question #1
Solve the formula for the vascular resistance.

R = (p-q)+F
R = (p-q)/F
R = F/(p-q)
R = (p-q)-F

Questions #2
Dyana says that the pressure in the outlet can be found using the formula p = RF+q. Is Dyana correct? Justify your answer.

Yes, p represents the pressure in the outlet and she solved the equation for p correctly
No, p does not represent the pressure in the outlet it is the pressure in the inlet
No, p represents the pressure in the outlet but she did not solve the equation correctly.

User Mfanto
by
8.0k points

1 Answer

5 votes

Answer:

1. B) R = (p-q)/F

2. B) No, p does not represent the pressure in the outlet; it is the pressure in the inlet.

Explanation:

Formula for the blood flow rate


F=(p-q)/(R)

where:

  • F = blood flow rate.
  • p = pressure in the inlet.
  • q = pressure in the outlet.
  • R = vascular resistance.

Question 1

To solve the formula for vascular resistance, rearrange the given equation to make R the subject.

Multiply both sides of the equation by R:


\implies F\cdot R=(p-q)/(R) \cdot R


\implies FR=p-q

Divide both sides by F:


\implies (FR)/(F)=(p-q)/(F)


\implies R=(p-q)/(F)

Therefore, the formula for vascular resistance is:


R=(p-q)/(F)

Question 2

To solve the formula for the pressure in the outlet, rearrange the given equation to make q the subject.

Multiply both sides of the equation by R:


\implies F\cdot R=(p-q)/(R) \cdot R


\implies FR=p-q

Add q to both sides of the equation:


\implies FR+q=p-q+q


\implies FR+q=p

Subtract FR from both sides of the equation:


\implies FR+q-FR=p-FR


\implies q=p-FR

Therefore, Dyana is incorrect as p does not represent the pressure in the outlet; it is the pressure in the inlet.

User Tito Nobre
by
8.1k points