Exponentials and Logarithms

Medium

Jonathan is investigating the spread of a virus measured by the number of daily recorded cases $N$ . He believes $N = Ae^{kt}$ .

Express $\ln N\,$ in terms of $t$

[2]

Plot $\ln N\,$ against $t\,$ for this data:

$t$	8	11	18
$N$	12	24	90

[2]

Using the graph, estimate the value of $A\,$ and the value of $k$ .

[4]

Exponentials and Logarithms Questions