The number of bacteria p in a pond after t hours is p(t). The more bacteria there are, the more rapidly the number increases. This is expressed by the equation . Find the most general exponential function of the form which satisfies the equation. (A and K are constants. Hint: substitute this function into the equation and see what you get).
p(t)=
If there were 1000 bacteria at t=0, how many are there 3 hours later?
p(3)=

Question

The number of bacteria p in a pond after t hours is p(t). The more bacteria there are, the more rapidly the number increases. This is expressed by the equation  . Find the most general exponential function of the form   which satisfies the equation. (A and K are constants. Hint: substitute this function into the equation and see what you get).
p(t)= 
If there were 1000 bacteria at t=0, how many are there 3 hours later?
p(3)=