In 1913, Carlson conducted the classic experiment in which he grew yeast, Saccharomyces cerevisiae, in laboratory cultures and collected data every hour for 18 hours. Table 2.11 shows the yeast population, P, at representative times t in hours.
(a) Calculate the average rate of change of P per hour for the time intervals shown between 0 and 18 hours.
(b) What can you say about the sign of d²P∕dt² during the period 0–18 hours?

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Table 2.11 0 9.6 t P 2 29.0 4 71.1 6 8 10 12 174.6 350.7 513.3 594.8 14 16 18 640.8 655.9 661.8