<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.<br><br>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="table-layout: fixed; width: 490px;"><colgroup><col style="width: 140px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"></colgroup><thead><tr><th style="text-align: left; --cell-justify: flex-start"><p>Time <strong>(hours)</strong></p></th><th style="text-align: center; --cell-justify: center">\(1\)</th><th style="text-align: center; --cell-justify: center">\(2\)</th><th style="text-align: center; --cell-justify: center">\(3\)</th><th style="text-align: center; --cell-justify: center">\(4\)</th><th style="text-align: center; --cell-justify: center">\(5\)</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start"><p>Views <strong>(in thousands)</strong></p></td><td style="text-align: center; --cell-justify: center">\(2.16\)</td><td style="text-align: center; --cell-justify: center">\(3.11\)</td><td style="text-align: center; --cell-justify: center">\(4.48\)</td><td style="text-align: center; --cell-justify: center">\(6.45\)</td><td style="text-align: center; --cell-justify: center">\(9.29\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li data-list-item-id="item-a" data-list-item-path="item-a"><ol class="i-list"><li data-list-item-id="item-a-i" data-list-item-path="item-a/item-a-i"><div class="list-item-paragraph">Explain how a straight line graph can be drawn to represent the formula and draw it for the given data.<span class="inline-marks">[4]</span></div></li><li data-list-item-id="item-a-ii" data-list-item-path="item-a/item-a-ii"><div class="list-item-paragraph">On the grid below, draw the graph and estimate the value of \(a\) and of \(b\).<span class="inline-marks">[3]</span></div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1782615916357-isv44bfbxbm.png" alt="Sub-item image" class="aligncenter" style="max-width: 100%; height: auto;" /></div></li><li data-list-item-id="subitem-1782616166395-5c1uf9ee9" data-list-item-path="item-a/subitem-1782616166395-5c1uf9ee9"><div class="list-item-paragraph">Using your graph to estimate the number of views when time is \(6\) hours.<span class="inline-marks">[2]</span></div></li></ol></li><li data-list-item-id="item-1782615928295-kuckr1328" data-list-item-path="item-1782615928295-kuckr1328"><div class="list-item-paragraph">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 \(x\).<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 \(t\).

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 \(x\).

Integration Techniques

Integration Techniques