Initially there are 260 newspaper subscriptions. In the absence of limiting factors, subscriptions would grow by 32% per week. There are only 2,190.00 households in town, and that is the maximum possible number of subscriptions.
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A: Make a logistic model of newspaper subscriptions S after t weeks.
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B: Plot the graph of the model you found in part A over the first 20 weeks.
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C: According to the model, at what subscription level are subscriptions growing at the fastest rate? Round your answer to the nearest whole number.
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D: At what time did subscriptions reach the value you found in part C? Round your answer to the nearest whole number.
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Round your answers to two decimals, if necessary.
What will be an ideal response?
A: 
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B:
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C: 1,095.00 subscriptions
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D: After 7 weeks
Mathematics
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