Question

The formula for blood flow rate is given by F = (P1 - P2) / r, where F is the flow rate, P1 is the initial pressure, P2 is the final pressure, and r is the resistance created by blood vessel size. Solve the formula for P1.

Answer 1

To solve the blood flow rate equation for initial pressure P1, you multiply the flow rate F by the resistance r and then add the final pressure P2, leading to the formula P1 = Fr + P2.

Step-by-step explanation:

The student is asking to solve the blood flow rate equation for P1. Given the formula F = (P1 - P2) / r, we'll isolate P1 by following these steps:

1. Multiply both sides by r to get rid of the denominator: Fr = P1 - P2.
2. Add P2 to both sides to isolate P1 on one side: Fr + P2 = P1.
3. Thus, the formula solved for P1 is: P1 = Fr + P2.

This mathematical manipulation allows us to express the initial pressure, P1, in terms of flow rate (F), resistance (r), and final pressure (P2).