The table gives the number of yeast cells in a new laboratory culture. (a) Plot the data

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The table gives the number of yeast cells in a new laboratory culture.

(a) Plot the data and use the plot to estimate the carrying capacity for the yeast population.
(b) Use the data to estimate the initial relative growth rate.
(c) Find both an exponential model and a logistic model for these data.
(d) Compare the predicted values with the observed values, both in a table and with graphs. Comment on how well your models fit the data.
(e) Use your logistic model to estimate the number of yeast cells after 7 hours.

Time (hours) Yeast cells Yeast cells Time (hours) 18 39 509 10 597 640 664 672 12 80 14 6. 171 336 16 18
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