Question

Given y inversely proportional to x and x = 3 for y = 6, what is x if y = 9?

Answer 1

Answer: $x=2$

Step-by-step explanation:

Inverse proportion equation has this form:

$y=\frac{k}{x}$

Where  "k" is the constant of variation.

We know that  "y" is inversely proportional to "x" and when $x=3$, $y=6$

Then, we can substittute these values into the equation and solve for "k" to  find its value:

$6=\frac{k}{3}\\\\6*3=k\\\\k=18$

Finally, we need to substitute "k" and $y=9$ into the equation and solve for "x":

$9=\frac{18}{x}\\\\x=\frac{18}{9}\\\\x=2$

Answer 2

Answer:

x=2

Step-by-step explanation:

y is inversely proportional to x is written as:

x ∝ 1/y

When the proportion is removed, a constant is introduced. We have to find the constant first to find the value of x in y = 9

So,

Removing the proportionality symbol will give us:

x=k/y

As we know that x=3 for y=6 so

3 = k/6

3*6=k

So,

k=8

Hence the value of proportionality constant is 8.

Now putting the value of y which is 9

x=k/y

=>x=18/9

=>x=2