the percentage of U.S. adults who use the internet are shown in the table for various years. a resonable model is f(t) = 16.1√t+14, where f(t) is the percentage of U.S. adults who use the internet at t years since 1955 a. find f(27) what does it mean in this situation? b. find t when f(t)=95. what does it mean in this situation? c. When will all U.S. adults use the internet, according to the model? percentages of U.S. adults who use the internet
Unitary Method
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the percentage of U.S. adults who use the internet are shown in the table for various years. a resonable model is f(t) = 16.1√t+14, where f(t) is the percentage of U.S. adults who use the internet at t years since 1955
a. find f(27) what does it mean in this situation?
b. find t when f(t)=95. what does it mean in this situation?
c. When will all U.S. adults use the internet, according to the model?
percentages of U.S. adults who use the internet
year percent
1995 14
2000 46
2005 66
2010 79
2014 87
The model is f(t) = 16.1√t+14
Part a: At t = 27
If 1995 is taken as the base year (t = 0), after 27 years (t = 27) that is from1995 to 2022, the percentage of U.S. adults who use the internet will be increased to 97.66%.
Part b: For f(t)=95
Interpretation: Over the span of about 25 years, i.e., from 1995 to 2020, the percentage of adult internet users have increased to 95%.
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