Question

It is given that varies directly as . when x+2 , y=16, find the value of when x=6 .

Answer 1

Answer:

$y=48$

Step-by-step explanation:

Question :

Given:

$y$ varies directly with $x$

when $x=2, y=16$

To find value of  $y$ when $x=6$

Solution:

From the given data we have:

$y$ ∝ $x$

Thus, we have:

$y=kx$

where $k$ is the constant of proportionality.

We can find the value of $k$ by plugging in the given values.

when $x=2, y=16$

$16=k(2)$

Dividing both sides by 2.

$\frac{16}{2}=\frac{k(2)}{2}$

$8=k$

∴ $k=8$

So, the equation to find $y$ when $x=6$ will be:

$y=8\times 6=48$

Thus, when $x=6, y=48$ (Answer)