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K 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 Round to the nearest tenth as needed Percentage The model predicts the percentage of people trusting in government will be in 2024 Type an integer or decimal rounded to the nearest tenth as needed 70 60 50 40 30 20 10 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 2024 Trust in media Trust in Goverment 55 35 31 47 19 44 2003 2007 2011 18 40 16 41 2015 2019

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