Question

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answer 1

Answer:

x = $\frac{p}{2}$

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k = $\frac{2}{4}$

=> k = $\frac{1}{2}$

Putting k in (1)

x = $\frac{p}{2}$

Now this is the required equation connecting both.