<p>It is believed that the number of views, \(V\), of a viral video online after \(t\) hours are related by the equation \(V = ab^{2t}\), where&nbsp;\(a\) and \(b\) are constants.</p>
<p>The table below shows a set of survey results for the variables \(V\) and \(t\).</p>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: left; --cell-justify: flex-start">Time (hours)</th><th style="text-align: left; --cell-justify: flex-start">\(1\)</th><th style="text-align: left; --cell-justify: flex-start">\(2\)</th><th style="text-align: left; --cell-justify: flex-start">\(3\)</th><th style="text-align: left; --cell-justify: flex-start">\(4\)</th><th style="text-align: left; --cell-justify: flex-start">\(5\)</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">Views (in thousands)</td><td style="text-align: left; --cell-justify: flex-start">\(2.16\)</td><td style="text-align: left; --cell-justify: flex-start">\(3.11\)</td><td style="text-align: left; --cell-justify: flex-start">\(4.48\)</td><td style="text-align: left; --cell-justify: flex-start">\(6.45\)</td><td style="text-align: left; --cell-justify: flex-start">\(9.29\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Explain how a straight line graph can be drawn to represent the formula and draw it for the given data.</span><span class="inline-marks">[4]</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Explain how a straight line graph can be drawn to represent the formula and draw it for the given data.</span><span class="inline-marks">[4]</span></div></li><li><div class="list-item-paragraph">Draw the graph and estimate the value of <strong>a</strong> and of <strong>b</strong>.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Use your graph  to estimate the number of views when time is <strong>6</strong> hours.<span class="inline-marks">[2]</span></div></li></ol></li><li><div class="list-item-paragraph">The variables <strong>x</strong> and <strong>y</strong> are related in such a way that when a graph of \(xy\) is plotted against \(x^2\), a straight line graph which passes through the points (1,9) and (5,1) is obtained. Express <strong>y</strong> in terms of <strong>x</strong>.<span class="inline-marks">[3]</span></div></li></ol>

It is believed that the number of views, \(V\), of a viral video online after \(t\) hours are related by the equation \(V = ab^{2t}\), where \(a\) and \(b\) are constants.

The table below shows a set of survey results for the variables \(V\) and \(t\).

Explain how a straight line graph can be drawn to represent the formula and draw it for the given data.

The variables **x** and **y** are related in such a way that when a graph of \(xy\) is plotted against \(x^2\), a straight line graph which passes through the points (1,9) and (5,1) is obtained. Express **y** in terms of **x**.

2025 MGS PRELIMS P2 Q11

2025 MGS PRELIMS P2 Q11