Question

19 yis inversely proportional to (x + 2)?.
When x = 1, y = 2.
Find y in terms of x.​

Answer 1

Answer:

$y = \frac{6}{x+2}$

Step-by-step explanation:

Given that,        19y  ∝  $\frac{1}{x+2}$

                    =>  19y = $\frac{k}{x+2}$   -------(1)  [Let "k" be the proportionality constant.]

And it is given that, x = 1 , y = 2 .

                    =>  19(2) = $\frac{k}{1+2}$

                    =>  38 = $\frac{k}{3}$

                    =>  k = 114.

So,   19y = $\frac{114}{x+2}$        _______________From (1)

   => $y = \frac{6}{x+2}$ .