Answer
$S=167\cdot 1.18^{t}$
$1695$ cases.
Work Step by Step
We want an exponential model, $S=Ab^{t}$
At the start, March 17th, $t=0$ days, and the initial size is $A=167$.
The increase of $ 18\%$ is a factor of $b=1.18$
So, $S=167\cdot 1.18^{t}$
On March 31st, the number of days passed is $t=14$
and
$S=167\cdot 1.18^{14}\approx 1694.58974319\approx 1695$ cases.
