\( P \) is inversely proportional to \( Q \).

When \( P = 100 \), \( Q = 32 \).

Calculate the value of \( Q \) when \( P \) is twice as big as \( Q \).

Show your working, please.

I f P i s in v erse l y p ro p or t i o na l t o Q t h e n : P × Q = co n s t an s P = 100 ; Q = 32 100 × 32 = 3200 P = 2 Q t h ere f ore P × Q = 2 Q × Q = 2 Q 2 2 Q 2 = 3200 ∣ d i v i d e b o t h s i d es b y 2 Q 2 = 1600 ∣ s q a re ro t b o t h s i d es Q = 1600 ​ Q = 40 ​

Answered by Anonymous | 2024-06-10

The value of Q when P is twice as big as Q is 40 . This was determined by using the property of inverse proportionality and substituting the relationships into the equations. The calculations resulted in an equation where Q equals 40 .
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Answered by Anonymous | 2024-12-26