<p>$x$ is directly proportional to ${{(y-3)}^{2}}$ and $y$ is positive.  The table below shows some corresponding values of $x$ and $y$.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 200px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center">$x$</th><th style="text-align: center; --cell-justify: center">$a$</th><th style="text-align: center; --cell-justify: center">$2$</th><th style="text-align: center; --cell-justify: center">$72$</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">$y$</td><td style="text-align: center; --cell-justify: center">$1.2$</td><td style="text-align: center; --cell-justify: center">$5$</td><td style="text-align: center; --cell-justify: center">$b$</td></tr></tbody></table></div></div>
<p>Find the</p>
<ol class="abc-list"><li><div class="list-item-paragraph">equation connecting $x$ and $y$.</div></li><li><div class="list-item-paragraph">value of $a$.</div></li><li><div class="list-item-paragraph">value of $b$.</div></li></ol>

$x$ is directly proportional to ${{(y-3)}^{2}}$ and $y$ is positive.  The table below shows some corresponding values of $x$ and $y$.

Direct Proportion Between $x$ and ${{(y-3)}^{2}}$

Direct Proportion Between $x$ and ${{(y-3)}^{2}}$

Video Solution: