<p>The variables \(x\) and \(y\) are connected by the equation \(a^y = kx\), where&nbsp;\(k\) and \(a\) are constants. The straight line passes through the points \((0, 2)\) and \((3, 5)\) and these points are obtained by plotting \(y\) against \(\ln x\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the values of \(a\) and \(k\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the value of \(y\) when&nbsp;\(x = 0.2\).</span></div></li></ol>

The variables \(x\) and \(y\) are connected by the equation \(a^y = kx\), where \(k\) and \(a\) are constants. The straight line passes through the points \((0, 2)\) and \((3, 5)\) and these points are obtained by plotting \(y\) against \(\ln x\).

Find the value of \(y\) when \(x = 0.2\).

Linear Law

Question 4169738f