Final answer:
To make p the subject of the formula k = √p - 3r, add 3r to both sides to get k + 3r = √p, then square both sides to solve for p, resulting in p = (k + 3r)².
Step-by-step explanation:
The student has asked to make p the subject of the formula k = √p - 3r. To solve for p, you start by performing the inverse operations to the rearrangement of terms:
- Add 3r to both sides of the equation to isolate the square root term containing p on one side: k + 3r = √p.
- Square both sides of the equation to eliminate the square root: (k + 3r)² = p.
- You now have p as the subject of the formula: p = (k + 3r)².
This is how you express p in terms of k and r.