2025 BVSS PRELIMS P2 Q4

2025 BVSS PRELIMS P2 Q4

Secondary 4
6 marks
2025 Bedok View Secondary School Prelims A Math Paper 2

In a biology experiment, a certain type of bacteria multiplies rapidly. The number of bacteria, \(N\), after \(t\) hours is modelled by the formula \(N = a10^{kt}\), where \(a\) and \(k\) are constants. The table below shows corresponding values of \(t\) and \(N\).

\(t\)2468
\(N\)9002700810024 300
  1. On the grid provided below, plot \(\lg N\) against \(t\) and draw a straight line graph to illustrate the information.[4]
  2. Use the graph to estimate the value of each of the constants \(a\) and \(k\).[2]

Solution:

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Answer:(a) \((2,2.954)\), \((4,3.431)\), \((6,3.908)\), \((8,4.386)\) plotted with a straight line of best fit (b) \(a=300,\ k=0.239\)

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