for A.
So first dP/dt= kP
Let p = Poe to power of kt
po= initial population
When t =0 , Po= 102
P=102e to power of kt
From 1935 to 2010= 75 years right?
P= 200,000,000 and t=75 with Initial P=102ekt
200,000,000 = 102e to power of 75k
e to powr of 75k= 200,0000,000 / 102...