government hit an all-time low of 14% in 2014, while trust in the media bottomed out at 32% in 2016. The bar graph s ng in the government and the media for five selected years. Use this information to answer parts a-c. raph to estimate the yearly loss in the percentage of people trusting in government. ge of people trusting in government is 36%. needed.) that estimates the percentage, P, of people trusting in government x years after 2003. estimates the percentage, P, of people trusting in government x years after 2003. ny numbers in the expression. Use the answer from part (a) to answer this part.) ta continues, use the mathematical model from part (b) to project the percentage of people trusting in government in in 2006

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Americans' trust in government and the media has generally been on a downward trend since pollsters first asked questions on these topics in the second half of
the twentieth century. Trust in government hit an all-time low of 14% in 2014, while trust in the media bottomed out at 32% in 2016. The bar graph shows the
percentage of Americans trusting in the government and the media for five selected years. Use this information to answer parts a-c.
a. Use the information in the graph to estimate the yearly loss in the percentage of people trusting in government.
The yearly loss in the percentage of people trusting in government is 36 %.
(Round to the nearest tenth as needed.)
b. Write a mathematical model that estimates the percentage, P, of people trusting in government x years after 2003.
The mathematical model P = estimates the percentage, P, of people trusting in government x years after 2003.
(Use integers or decimals for any numbers in the expression. Use the answer from part (a) to answer this part.)
c. If the trend shown by the data continues, use the mathematical model from part (b) to project the percentage of people trusting in government in 2025.
The model predicts the percentage of people trusting in government will be % in 2025.
(Type an integer or decimal rounded to the nearest tenth as needed.)
Percentage
70-
60-
Trust in media
Trust in Goverment
54
47
44
39
31
wwww
19
18
2007 2011 2015 2019
50-
40- 35
30-
20-
10-
2003
16
42
Transcribed Image Text:Americans' trust in government and the media has generally been on a downward trend since pollsters first asked questions on these topics in the second half of the twentieth century. Trust in government hit an all-time low of 14% in 2014, while trust in the media bottomed out at 32% in 2016. The bar graph shows the percentage of Americans trusting in the government and the media for five selected years. Use this information to answer parts a-c. a. Use the information in the graph to estimate the yearly loss in the percentage of people trusting in government. The yearly loss in the percentage of people trusting in government is 36 %. (Round to the nearest tenth as needed.) b. Write a mathematical model that estimates the percentage, P, of people trusting in government x years after 2003. The mathematical model P = estimates the percentage, P, of people trusting in government x years after 2003. (Use integers or decimals for any numbers in the expression. Use the answer from part (a) to answer this part.) c. If the trend shown by the data continues, use the mathematical model from part (b) to project the percentage of people trusting in government in 2025. The model predicts the percentage of people trusting in government will be % in 2025. (Type an integer or decimal rounded to the nearest tenth as needed.) Percentage 70- 60- Trust in media Trust in Goverment 54 47 44 39 31 wwww 19 18 2007 2011 2015 2019 50- 40- 35 30- 20- 10- 2003 16 42
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