Posted by Hannah on Sunday, December 7, 2008 at 11:21pm.
dP/dt = k(Pa)
dP/dt = kPka
dP/P = kka
is this right so far? was i supposed to distribute??? what do i need to do next???

Calculus  drwls, Monday, December 8, 2008 at 7:02am
The third equation does not follow from the second.
This looks like a differential equation they want you to solve.
What you need to do is integrate both sides of
dP/(Pa) = k dt
ln (Pa) = kt + constant
C e^(kt) = Pa
P = a + C e^(kt)
C is an arbitrary constant that you will have to determine from an initial condition.
check: dP/dt = k C e^(kt) = k (Pa)