Question

The table gives the number of yeast cells in a new laboratory culture. Time (hours) Yeast cells Time (hours) Yeast cells 0 18 10 509 2 39 12 597 4 80 14 640 6 171 16 664 8 336 18 672 (a) Plot the data and use the plot to estimate the carrying capacity M for the yeast population. M = 680 M = 340 M = 0 M = 20 M = 1200 (b) Use the data to estimate the initial relative growth rate. (Use the first two data points.) (c) Find an exponential model for these data. (Use the relative growth rate found in part (b).) P(t) = Find a logistic model for these data. (Use the relative growth rate found in part (b).) P(t) =

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

Time (hours) Yeast cells Time (hours) Yeast cells
0 18 10 509
2 39 12 597
4 80 14 640
6 171 16 664
8 336 18 672

(a) Plot the data and use the plot to estimate the carrying capacity M for the yeast population.
 M = 680
 M = 340
 M = 0
 M = 20
 M = 1200

(b) Use the data to estimate the initial relative growth rate. (Use the first two data points.)

(c) Find an exponential model for these data. (Use the relative growth rate found in part (b).)
P(t) =

Find a logistic model for these data. (Use the relative growth rate found in part (b).)
P(t) =

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

Time (hours) Yeast cells Time (hours) Yeast cells
0 18 10 509
2 39 12 597
4 80 14 640
6 171 16 664
8 336 18 672

(a) Plot the data and use the plot to estimate the carrying capacity M for the yeast population.
M = 680
M = 340
M = 0
M = 20
M = 1200

(b) Use the data to estimate the initial relative growth rate. (Use the first two data points.)

(c) Find an exponential model for these data. (Use the relative growth rate found in part (b).)
P(t) =

Find a logistic model for these data. (Use the relative growth rate found in part (b).)
P(t) =

Added by Cassidy R.

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