Question

The pair of points is on the graph of an inverse variation. Find the missing value.

(1.6, 6) and (8, y)


30


1.2


0.83


0.03

Answer 1

In an inverse variation, the product of the pairs of values is constant. This means that if we denote the two points as \((x_1, y_1)\) and \((x_2, y_2)\), then:

\[
x_1 \cdot y_1 = x_2 \cdot y_2
\]

Given the points \((1.6, 6)\) and \((8, y)\), we can set up the equation:

\[
1.6 \cdot 6 = 8 \cdot y
\]

First, calculate \(1.6 \cdot 6\):

\[
1.6 \cdot 6 = 9.6
\]

Now substitute this value into the equation:

\[
9.6 = 8 \cdot y
\]

Next, solve for \(y\):

\[
y = \frac{9.6}{8} = 1.2
\]

Thus, the missing value \(y\) is \(1.2\).

Therefore, the answer is:

**1.2**