The following table gives the percentage of high school students that smoke for select years. 4. t3: Year Percentage 1990 30 1995 34.8 37.5 1998 (01 e de 34.7 2001 2007 23 http://www.cdc. gov/hiv/topics/surveillance/incidence.htm Create a scatter plot of the data, where x is the number of years since 1990. Notice the years are not consecutive. Use shifting and/or scaling of y=x to find a model that closely fits the scatter plot of the given data. Write the expression as a quadratic function f(x). Do NOT use regression! a. b. According to your model from part a) and using algebra, in which year should there have been zero students that smoke? ni

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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The following table gives the percentage of high school students that smoke for select years.
4.
t3:
Year
Percentage
1990
30
1995
34.8
37.5
1998
(01
e
de
34.7
2001
2007
23
http://www.cdc. gov/hiv/topics/surveillance/incidence.htm
Create a scatter plot of the data, where x is the number of years since 1990. Notice the years are not
consecutive.
Use shifting and/or scaling of y=x to find a model that closely fits the scatter plot of the given
data. Write the expression as a quadratic function f(x). Do NOT use regression!
a.
b. According to your model from part a) and using algebra, in which year should there have been
zero students that smoke?
ni
Transcribed Image Text:The following table gives the percentage of high school students that smoke for select years. 4. t3: Year Percentage 1990 30 1995 34.8 37.5 1998 (01 e de 34.7 2001 2007 23 http://www.cdc. gov/hiv/topics/surveillance/incidence.htm Create a scatter plot of the data, where x is the number of years since 1990. Notice the years are not consecutive. Use shifting and/or scaling of y=x to find a model that closely fits the scatter plot of the given data. Write the expression as a quadratic function f(x). Do NOT use regression! a. b. According to your model from part a) and using algebra, in which year should there have been zero students that smoke? ni
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