A quantity $P$ is an exponential function of time $t,$ such that $P=150$ when $t=4$ and $P=110$ when $t=2.$ Use the given information about $P=P_0{e}^{kt}$ to:

$($a$)$ Find values for the parameters $k$ and $P_0.$

Round your answers to three decimal places.

$k=$

$P_0=$

$($b$)$ Give the initial quantity and the continuous percent rate of growth or decay.

Round your answer for the initial quantity to three decimal places. Enter your answer for the growth or decay rate as a positive value, rounded to one decimal place.

The initial quantity is $$ and the quantity is $$ at a continuous rate of

$\%$ per unit time.