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Suppose you're going to sell a certain product, and your marketing team has determined that the maximum number of units of the product that can be sold (based on number of households, desirability, and so on) is given by a constant M>0, and that the rate of increase in unit sales will be proportional to the difference between M and the number of units that have currently been sold. Then the cumulative number of units >0, sold for any time t will be given by a function of the form: A. U(t) = Aekt where A is some undetermined constant, and k> 0 is some proportionality constant. B. U(t) = Aekt – M, where A is some undetermined constant, and k > 0 is some proportionality constant. C. U(t) = Ae-kt - M, where A is some undetermined constant, and k > 0 is some proportionality constant. D. U(t) = Ae¯kt + M, where A is some undetermined constant, and k> 0 is some proportionality constant. E. U(t) = Aekt + M, where A is some undetermined constant, and k> 0 is some proportionality constant.

Suppose you're going to sell a certain product, and your marketing team has determined that the maximum number of units of the product that can be sold (based on number of households, desirability, and so on) is given by a constant M>0, and that the rate of increase in unit sales will be proportional to the difference between M and the number of units that have currently been sold. Then the cumulative number of units >0, sold for any time t will be given by a function of the form: A. U(t) = Aekt where A is some undetermined constant, and k> 0 is some proportionality constant. B. U(t) = Aekt – M, where A is some undetermined constant, and k > 0 is some proportionality constant. C. U(t) = Ae-kt - M, where A is some undetermined constant, and k > 0 is some proportionality constant. D. U(t) = Ae¯kt + M, where A is some undetermined constant, and k> 0 is some proportionality constant. E. U(t) = Aekt + M, where A is some undetermined constant, and k> 0 is some proportionality constant.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 39PS
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Suppose you're going to sell a certain product, and your marketing team has determined that the maximum number of units of the product that can be sold (based on number of households, desirability, and so on) is given by a constant M>0, and that the rate of increase in unit sales will be proportional to the difference between M and the number of units that have currently been sold. Then the cumulative number of units >0, sold for any time t will be given by a function of the form: A. U(t) = Aekt where A is some undetermined constant, and k > 0 is some proportionality constant. B. U(t) = Aekt – M, where A is some undetermined constant, and k > 0 is some proportionality constant. C. U(t) = Ae-kt - M, where A is some undetermined constant, and k > 0 is some proportionality constant. D. U(t) = Ae¯kt + M, where A is some undetermined constant, and k> 0 is some proportionality constant. E. U(t) = Aekt + M, where A is some undetermined constant, and k> 0 is some proportionality constant.
Transcribed Image Text:Suppose you're going to sell a certain product, and your marketing team has determined that the maximum number of units of the product that can be sold (based on number of households, desirability, and so on) is given by a constant M>0, and that the rate of increase in unit sales will be proportional to the difference between M and the number of units that have currently been sold. Then the cumulative number of units >0, sold for any time t will be given by a function of the form: A. U(t) = Aekt where A is some undetermined constant, and k > 0 is some proportionality constant. B. U(t) = Aekt – M, where A is some undetermined constant, and k > 0 is some proportionality constant. C. U(t) = Ae-kt - M, where A is some undetermined constant, and k > 0 is some proportionality constant. D. U(t) = Ae¯kt + M, where A is some undetermined constant, and k> 0 is some proportionality constant. E. U(t) = Aekt + M, where A is some undetermined constant, and k> 0 is some proportionality constant.
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