A bacteria culture is growing according to the law of exponential growth, P(t)=Ce^(kt), where t is in hours and P is in thousands of organisms. Suppose further that P(1)=20 and P(5)=32.
(i) Find C and k, and then rewrite the equation P(t)=Ce^(kt), with the constants you just found.
(ii) Find the initial population and find P(6). Then state your results.
(iii) Find the t for whixh P(t)=50.
(iv) Sketch labeled graph of population.