Question $\begin{array}{c} y \alpha \frac{1}{x} \\ y=k\left(\frac{1}{x}\right)=\frac{k}{x} \end{array}$
Follow these steps to solve an inverse variation problem. - Step 1: Find the constant of proportionality, $k$ . - Step 2: Write out the equation $y=\frac{k}{x}$ . - Step 3: Solve for the missing values.
Example Fill in the missing values, assuming that y is inversely proportional to x (to 2 decimal places). \begin{tabular}{|c|c|c|c|} \hline $x$ & 275 & 589 & $\square$ \\ \hline $y$ & 133 & $\square$ & 374 \\ \hline \end{tabular} HINT

Studdy Solution
Solve for the missing values in the table.
First, find $y$ when $x = 589$ :
$y = \frac{36575}{589}$
Calculate $y$ :
$y \approx 62.09$
Next, find $x$ when $y = 374$ :
$374 = \frac{36575}{x}$
To find $x$ , multiply both sides by $x$ and then divide by 374:
$x = \frac{36575}{374}$
Calculate $x$ :
$x \approx 97.79$
The completed table is:
$\begin{array}{|c|c|c|c|} \hline x & 275 & 589 & 97.79 \\ \hline y & 133 & 62.09 & 374 \\ \hline \end{array}$

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