. The percentage of American households who have a (color) television grew steadily since its first widespread availability in the early 1960s. It is well modeled by this function: p(t) = 97/ 1 + 30e^−0.27t where t = years since 1960. (a) Sketch a well-labeled graph of this function for the years 1960-2020. What type of function is this? (b) According to the model function, what percentage of American households did not own a color television in 2020? (c) When, if ever, will this percentage reach 100%?

. The percentage of American households who have a (color) television grew steadily since its first widespread availability in the early 1960s. It is well modeled by this function: p(t) = 97/ 1 + 30e^−0.27t where t = years since 1960. (a) Sketch a well-labeled graph of this function for the years 1960-2020. What type of function is this? (b) According to the model function, what percentage of American households did not own a color television in 2020? (c) When, if ever, will this percentage reach 100%?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....

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