SOCIAL MEDIA A Nielsen survey of 3000 American moviegoers aged 12 − 74 found that 27 % of them used social media to chat about movies in 2010. The percentage was 29 % in 2011 and 31 % in 2012. Let t = 0 , t = 1 , and t = 2 correspond to the years 2010, 2011, and 2012, respectively. a. Explain why the three points P 1 ( 0 , 27 ) , P 2 ( 1 , 29 ) , and P 3 ( 2 , 31 ) lie on a straight line L . b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015? c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey.
SOCIAL MEDIA A Nielsen survey of 3000 American moviegoers aged 12 − 74 found that 27 % of them used social media to chat about movies in 2010. The percentage was 29 % in 2011 and 31 % in 2012. Let t = 0 , t = 1 , and t = 2 correspond to the years 2010, 2011, and 2012, respectively. a. Explain why the three points P 1 ( 0 , 27 ) , P 2 ( 1 , 29 ) , and P 3 ( 2 , 31 ) lie on a straight line L . b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015? c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey.
Solution Summary: The author explains that the three given points lie on a straight line L. The formula to calculate the slope of the line is given by m=y_2-x
SOCIAL MEDIA A Nielsen survey of
3000
American moviegoers aged
12
−
74
found that
27
%
of them used social media to chat about movies in 2010. The percentage was
29
%
in 2011 and
31
%
in 2012. Let
t
=
0
,
t
=
1
, and
t
=
2
correspond to the years 2010, 2011, and 2012, respectively.
a. Explain why the three points
P
1
(
0
,
27
)
,
P
2
(
1
,
29
)
, and
P
3
(
2
,
31
)
lie on a straight line L.
b. If the trend continued, what was the percentage of moviegoers who used social media to chat about movies in 2015?
c. Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b).
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