The following table giyes the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050.

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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
32.3
37.3
2015
2020
50.0
2025
59.5
2030
68.3
2035
76.2
2040
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.
Logistic function is in the form y
where c= Number
, a = Number
and b=
Number
1+ae-bx
b. Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2046. (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.Š. 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 76 million?
Number
Transcribed Image Text: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 32.3 37.3 2015 2020 50.0 2025 59.5 2030 68.3 2035 76.2 2040 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. Logistic function is in the form y where c= Number , a = Number and b= Number 1+ae-bx b. Use the model to predict the number of U.S. adults (in millions) expected to have diabetes in 2046. (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.Š. 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 76 million? Number
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