1.5 Exponentials and logarithms

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

a.

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

[2]

b.

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

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

[2]

c.

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

[4]

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

a.

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

[2]

b.

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

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

[2]

c.

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

[4]

1.5 Exponentials and logarithms Questions