Question

If P varies directly as q and if q =2 then p = 4 . If P = 2 then the value of q is
A. 1.5
B. 2
C. 1
D. 3​

Answer 1

P = 2 then q = p/2 =2/2=1

hope it helps

Answer 2

Answer:

The value of q is 1.

Step-by-step explanation:

It is given that $P$ varies directly as $q$.

This means when q increases or decreases, P will increase or decrease by the same factor.

⇒ P = kq . . . . . (1)

where k is the constant of variation.

Since if q = 2 then P = 4.

Substitute the values of P and q in the equation (1) as follows:

⇒ 4 = k × 2

⇒ k = 4/2

⇒ k = 2

Then, equation (1) becomes

P = 2q . . . . . (2)

Now, find the value of q when P = 2.

(a) 1.5

From (2), we have

P = 2q

2 = 2(1.5) (Since P =2 and q = 1.5)

2 ≠ 3

Thus, option (a) is incorrect.

(b) 2

From (2), we have

P = 2q

2 = 2(2) (Since P =2 and q = 2)

2 ≠ 4

Thus, option (b) is incorrect.

(c) 1.5

From (2), we have

P = 2q

2 = 2(1) (Since P =2 and q = 1)

2 = 2

Thus, option (c) is correct.

(d) 3

From (2), we have

P = 2q

2 = 2(3) (Since P =2 and q = 3)

2 ≠ 6

Thus, option (d) is incorrect.

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