Question

The values (9.4,11) and (11,y) are from an inverse variation. Find the missing value and round to the nearest hundredth.

Answer 1

Answer:

0.94

Explanation:

We know that the given values (9.4,11) and (11,y) are from an inverse variation.

So we can write the function of an inverse variation as:

$y$ ∝ $\frac{1} {x}$

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

Finding the constant $k$:

$11 = \frac {k}{9.4}$

$k = 9.4*11$

$k = 10.34$

Now finding the missing value $y$:

$y = \frac {10.34}{11}$

$y = 0.94$

Therefore, the missing value is (11, 0.94).

Answer 2

Answer: 9.4

Step-by-step explanation:

Here the x-coordinates and y-coordinates have the inverse relation.

⇒ $x\propto\frac{1}{y}$

⇒ $x=\frac{k}{y}$

Where k is variation constant.

Since, point (9.4, 11) is from the inverse variation,

Therefore, this point must be satisfy the above condition,

That is,    $9.4=\frac{k}{11}$

$k=103.4$

Thus, the relation between the coordinates is,

$x=\frac{103.4}{y}$

Put x = 11, in the above function,

$11=\frac{103.4}{y}$

$y=\frac{103.4}{11}=9.4$