The following table gives the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050.Year2010Number (millions)32.3201537.32020202550.059.5203068.3203576.284.191.7204020452050100.0a. Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with coefficients rounded to threedecimals places.Logistic function is in the form y =where c =Number, a= NumberNumberand b=1+ae¬bxb. Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2042. (Round your answer to one decimal place.)NumbermillionC. According to the model, what is the expected upper limit on the number of U.S. adults (in millions) with diabetes? (Round your answer to one decimalplace.)Numbermilliond. In what year does the model predict that the number of U.S. adults with diabetes will reach 70 million?Number

To Find: a. Find the logistic function that models these data. b. Use the model to predict the…

The following table gives the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050. Year Number (millions) 2010 2015 2020 2025 32.3 37.3 50.0 59.5 2030 2035 2040 68.3 76.2 84.1 2045 91.7 2050 100.0 a. Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with coefficients rounded to three decimals places.

The following table gives the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050. Year Number (millions) 2010 2015 2020 2025 32.3 37.3 50.0 59.5 2030 2035 2040 68.3 76.2 84.1 2045 91.7 2050 100.0 a. Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with coefficients rounded to three decimals places.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

The following table gives the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050.
Year
2010
Number (millions)
32.3
2015
37.3
2020
2025
50.0
59.5
2030
68.3
2035
76.2
84.1
91.7
2040
2045
2050
100.0
a. Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with coefficients rounded to three
decimals places.
Logistic function is in the form y =
where c =
Number
, a= Number
Number
and b=
1+ae¬bx
b. Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2042. (Round your answer to one decimal place.)
Number
million
C. According to the model, what is the expected upper limit on the number of U.S. adults (in millions) with diabetes? (Round your answer to one decimal
place.)
Number
million
d. In what year does the model predict that the number of U.S. adults with diabetes will reach 70 million?
Number

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