If Q is inversely proportional to P and Q =0.25 when P = 2,
(i) express Q in terms of P,
(ii) find the value of Q when P = 5,
(iii) calculate the value of P when Q = 0.2.

Step-by-step explanation:

Q is inversely proportional to P is written as

where k is the constant of proportionality

we must first calculate the relationship between them

So we have

when Q = 0.25

P = 2

Substitute the values into the above equation

That's

Cross multiply

We have

k = 0.25 × 2 = 0.5

So the formula for the variation is

when P = 5

We have

We have the answer as

When Q = 0.2

We have

Cross multiply

That's

0.2P = 0.5

Divide both sides by 0.2

We have the answer as

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step-by-step explanation: