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.
please answer CORRECTLY
Answers
Answer:
I) P is inversely proportional to Q
II) Q is equal to 0.5
Step-by-step explanation:
Given :-
Q is inversely proportional to P and Q=0.25 when P= 2.
To find :-
Find the following :-
(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.?
Solution :-
Given that
Q is inversely proportional to P
=> Q ∝ 1/P
=> Q = K/P
=> Q×P = K
=> PQ = K , where K is a constant.
If P = 2 and Q = 0.25 then
K = 2×0.25
=> K = 0.50
=> K = 0.5
Therefore, K = 0.5
I) We have, PQ = K
=> Q = K/P
ii) Given that P = 5 then
PQ = K
=> Q = K/P
=> Q = 0.5/5
=> Q = 0.1
Therefore, Q = 0.1
iii) Given that Q = 0.2
Now,
PQ = K => P = K/Q
=> P = 0.5/0.2
=> P = (5/10)/(2/10)
=> P = 5/2
=> P = 2.5
Therefore, P = 2.5
Answer:-
I) The value of Q interns of P is K/P
II) The value of Q when P = 5 is 0.1
III) The value of P when Q = 0.2 is 2.5
Used formulae:-
→ If Q is inversely proportional to P then PQ = K , where K is a constant.