if p = kq what can you say about the relationship between P and Q find K when P is equals to 3 q is equals to 27 then find P when Q is equal to 32....
I know the ans but...
I want in ratio and proportion method...
plzzzz.
this is ans
I know the ans but...
I want in ratio and proportion method...
plzzzz.
this is ans
Answers & Comments
Verified answer
Answer:
Given:
The value of P varies directly as the square of Q.
Concept:
When two quantities are directly proportional to each other, then their ratio is constant. In this case, since P varies directly as the square of Q, we can write:
P/Q2 = k
where k is the constant of proportionality.
Calculation:
To find the value of k, we can use the given information that when Q is 4, P is 48:
⇒ 48/42 = k
⇒ k = 3
So, we have:
⇒ P/Q2 = 3
To find the value of Q when P is 243, we can substitute these values in the above equation and solve for Q:
⇒ 243/Q2 = 3
⇒ Q2 = 81
⇒ Q = ±9
Since Q has to be a positive quantity, the value of Q is 9.
Therefore, when P is 243, the value of Q is 9.