Question: 13:49 Wed 8 Jun . . 1 @ @ 100% Done Paper 1 Y12 and 18 EoY Maths Pure (8 of 9) Q 8. The

13:49 Wed 8 Jun . . 1 @ @ 100% Done Paper 1 Y12 and 18 EoY Maths Pure (8 of 9) Q 8. The number of infected individuals, I, present in a population T weeks after a viral outbreak is modelled by the equation I = aT, where a and b are constants. (a) Show that this equation can be expressed in the form log, I = mlog. T+c, giving m and c in terms of the constants a and/or b (2) log101 6 4 W 2 1 0.1 0.2 0.3 0.4 0.5 0.6 log10 T The graph shows the line of best fit for the values of logie I recorded against logio T. (b) Use the graph to estimate the number of infected individuals in the population 3 weeks after the viral outbreak. (4) (c) Explain why it is inappropriate to use the information provided to estimate the time when the number of infected individuals first reaches 10,000,000. (2) (d) Interpret the value of a in the context of the model. (1)

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