Problem

A yeast population grows as shown in the table below. Time is measured in hours. Find the rmax (per hour) and ra (actual r over the entire time period) for this population.

Use K= 320

0

10

1

20

2

40

3

75

4

140

5

210

6

273

7

300

8

310

9

315

10

318

11

319

12

317

13

318

14

319

15

315

16

319

Hint: Find the natural log of N and complete column 3. Then find the natural log of (K- N)/N and then complete column 4. Prepare graphs of columns 2, 3, and 4 versus time. For rmax find the slope during the exponential phase of growth (hours 0-4, for example). For ra, find the slope of the values computed in column 4 versus time.

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