6 When the parameter r in the logistic formula is negative (resulting in a positive power of e), the logistic curve has a different shape. For example, the following formula gives the approximatenumber of deaths due to tuberculosis as a fractionall deaths in the United States t years after 1875.0.13T=1+ 0.07e.05t(a) Make a graph of T versus t. Include dates up to 2000.T.0.150.150.100.100.050.0520406080100120204060801001200.150.150.100.100.050.052040608010012020406080100120(b) What is the limiting value of T?Explain in practical terms what this limiting value means.O In the long run, 7% of people will die from tuberculosis.O In the long run, 13% of people will die from tuberculosis.O In the long run, everyone will die of tuberculosis.O In the long run, 50% of people will die from tuberculosis.O In the long run, very few people will die of tuberculosis.() Estimate when the fraction of deaths due to tuberculosis was decreasing most rapidly. Give your answer accurate to the nearest decade (e.g., 1920).

Name: 6 When the parameter r in the logistic formula is negative (resulting
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Description: 6 When the parameter r in the logistic formula is negative (resulting in a positive power of e), the logistic curve has a different shape. For example, the following formula gives the approximatenumber of deaths due to tuberculosis as a fractionall d

Given function is T=0.131+0.07e0.05t. Here 1875 is considered as t=0.

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When the parameter r in the logistic formula is negative (resulting in a positive power of e), the logistic curve has a different shape. For example, the following formula gives the approximate number of deaths due to tuberculosis as a fraction of all deaths in the United Statest years after 1875. 0.13 T= 1+ 0.07e.0s (a) Make a graph of T versus t. Include dates up to 2000. т 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 (b) What is the limiting value of T?

When the parameter r in the logistic formula is negative (resulting in a positive power of e), the logistic curve has a different shape. For example, the following formula gives the approximate number of deaths due to tuberculosis as a fraction of all deaths in the United Statest years after 1875. 0.13 T= 1+ 0.07e.0s (a) Make a graph of T versus t. Include dates up to 2000. т 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 0.15 0.15 0.10 0.10 0.05 0.05 20 40 60 80 100 120 20 40 60 80 100 120 (b) What is the limiting value of T?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...

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