Answer
a) After a week, there will be about $667$ people infected.
b) $82.2 \%$
Work Step by Step
We know that after $t$ days, the number of people, $P$, who are infected is given by $P=10 e^{0.6 t}$. After a week , $t= 7$ has passed, $t$ we have
$$
P=10 e^{0.6(7)}=666.863
$$ After a week, there will be about 667 people infected.
b) We may write the formula as
$$P=10 e^{0.6 t}=100\left(e^{0.6}\right)^t=100(1.8221)^t$$ The daily growth rate of the number of people infected is $1.8221-1=0.8221$, or about $82.2 \%$.
