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
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
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...
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
? 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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning