Question

If Q is inversely proportional to P and Q=0.25when P=2,
express Q in terms of P

Answer 1

Step-by-step explanation:

Q is inversely proportional to P is written as

Q \: \: \alpha \: \frac{k}{P}Qα

P

k

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

0.25 = \frac{k}{2}0.25=

2

k

Cross multiply

We have

k = 0.25 × 2 = 0.5

So the formula for the variation is

Q = \frac{0.5}{P}Q=

P

0.5