Question

P varies directly as the square of Q and inversely as the cube of Z. When P=5,Q=3 and Z=1. Find: (i) The relationship between P,Q, and Z

Answer 1

The relationship between P, Q, and Z is P = (5/9)Q^2 / Z^3.

Step-by-step explanation:

The relationship between P, Q, and Z can be represented by the following equation:

P = kQ^2 / Z^3

where k is a constant of proportionality.

Using the given values of P=5, Q=3, and Z=1, we can substitute them into the equation:

5 = k * 3^2 / 1^3

5 = 9k

k = 5/9

Therefore, the relationship between P, Q, and Z is P = (5/9)Q^2 / Z^3. This means that P is directly proportional to the square of Q and inversely proportional to the cube of Z.

Learn more about Direct and Inverse Variation