Answer
a) $G(t)=100(0.9852)^t$
b) $69.92$ mg and $8.17$ mg
Work Step by Step
If gallium-67 decays at the rate of $1.48 \%$ each hour, then $98.52 \%$ remains at the end of each hour. The growth factor is $b= 0.9852$
$$
G(t)=100(0.9852)^t
$$
b) Set $t= 24$ and $t= 168$ for 24 hours and one week since $t$ is measured in hours.
$$
G(24)=100(0.9852)^{24}=69.92 \mathrm{mg} \text { gallium-67 remaining. }
$$ and $$
G(168)=100(0.9852)^{168}=8.17 \mathrm{mg} \text { gallium-67 remaining. }
$$
