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) Year Number (millions) 2010 32.3 2035 76.2 2015 37.3 2040 84.1 2020 50.0 2045 91.7 2025 59.5 2050 100.0 2030 68.3     (a) Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with 3 significant digit coefficients. y =    (b) Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2022. (Round your answer to one decimal place.) ? million adults

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 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
icon
Related questions
Question
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)
Year Number
(millions)
2010 32.3 2035 76.2
2015 37.3 2040 84.1
2020 50.0 2045 91.7
2025 59.5 2050 100.0
2030 68.3    

(a) Find the logistic function that models these data. Use x equal to the number of years past 2000 and report your model with 3 significant digit coefficients.
y = 
 
(b) Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2022. (Round your answer to one decimal place.)
? million adults

(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.)
? million adults

(d) In what year does the model predict that the number of U.S. adults with diabetes will reach 80.0 million?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning