The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 36 5 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variable t from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2014. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The numbers of polio cases in the world are shown in the table for various years.
Year Number of Polio Cases (thousands)
1988
1992
1996
2000
2005
2007
350
138
36
5
3.2
1.3
Let f(t) be the number of polio cases (in thousands) t years after 1980.
Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent
years after 1980.
a) Is it better to model the data with a linear or with an exponential model? [Select an answer
b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the
parameter window in Desmos if you are fitting an exponential model.
f(t)
Round the coefficients to 4 decimal places.
Hint: Use the variable t from the drop down menu when entering the equation. Do not just type in t.
c) Predict the number of polio cases in 2014.
d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place.
years
Transcribed Image Text:The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 36 5 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? [Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variable t from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2014. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years
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