A manufacturer estimates that he can sell a maximum of 100,000 digital tape recorders in a city. His total sales grow at a rate proportional to the distance below this upper limit. If after 4 months total sales are 50,000, find a formula for the total sales after t months. Then use your answer to estimate the total sales at the end of the first year.

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
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Total Sales: A manufacturer estimates that he can sell a maximum of 100,000 digital tape recorders in a city. His total sales grow at a rate proportional to the distance below this upper limit. If after 4 months total sales are 50,000, find a formula for the total sales after t months. Then use your answer to estimate the total sales at the end of the first year.

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