Time (hours) Cell Density (cells/mL) 0.0 2.00 x 10^6 2.5 3.1 x 10^6 5.0 10.3 x 10^6 7.5 40.7 x 10^6 10.0 100.5 x 10^6 12.5 205.2 x 10^6 20.0 230.6 x 10^6 24.0 235.2 x 10^6
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| Time (hours) | Cell Density (cells/mL) | |--------------|-------------------------| | 0.0 | $2.00 \times 10^6$ | | 2.5 | $3.1 \times 10^6$ | | 5.0 | $10.3 \times 10^6$ | | 7.5 | $40.7 \times 10^6$ | | Show more…
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In a biology experiment the number of yeast cells is determined after 24 hours of growth at different temperatures. a) Identify the independent and dependent variables in the experiment. b) Draw the graph of the following data. Label your axes. Growth Temperature (yeast cells) (ËšC) 10 0 15 2 20 4 25 6 C) Generate the mathematical model that best fits the graph. (y=mx+b) Use your variables.
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The table gives the number of yeast cell 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.
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The table gives the number of yeast cells in a new laboratory culture. $$ \begin{array}{|c|c|c|c|}\hline \text { Time (hours) } & {\text { Yeast cells }} & {\text { Time (hours) }} & {\text { Yeast cells }} \\ \hline 0 & {18} & {10} & {509} \\ {2} & {39} & {12} & {597} \\ {4} & {80} & {14} & {640} \\ {6} & {171} & {16} & {664} \\ {8} & {336} & {18} & {672} \\ \hline\end{array} $$ (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.
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