The graph shows the percentage of citizens of a certain country who trust in their government. Complete parts a through
c below.
Percentage of citizens
70%-y
60%-
50%-
40%-
30%-
20%-
à 10%-
0-
0
(4.29)
(16 19)
4 8 12 16 20
Years after 2003
a. Use the two points whose coordinates are shown to find the point-slope form of the equation of the line that models the percentage of citizens trusting in
government, y, x years after 2003.
(Simplify your answer. Type your answer in point-slope form. Use integers or decimals for any numbers in the equation. Round to two decimal places as needed.)
b. Write the equation in part (a) in slope-intercept form. Use function notation, where f(x) is the percentage of citizens trusting in government x years after 2003.
f(x) =
(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. Use the linear function to predict the percentage of citizens trusting in government in 2026.
o
5