SOLUTION: The number of viewers V(t) in millions to American Idol for the year t years after 2002 is given by the square root function: V(t) = 9.13 * square root symbol t(right next to it)

Algebra ->  Square-cubic-other-roots -> SOLUTION: The number of viewers V(t) in millions to American Idol for the year t years after 2002 is given by the square root function: V(t) = 9.13 * square root symbol t(right next to it)      Log On


   



Question 315136: The number of viewers V(t) in millions to American Idol for the year t years after 2002 is given by the square root function: V(t) = 9.13 * square root symbol t(right next to it) + 12.09
What is the V or y intercept? Explain its meaning to this situation?
Predict the viewing audience to American Idol in 2008 based on your model in millions?
According to your model, when will viewership exceed 45 million? Year?

Answer by malaydassharma(59) About Me  (Show Source):
You can put this solution on YOUR website!
V%28t%29+=+9.13+%2A+sqrt%28t%29+%2B+12.09+
1. V or y intercept is the value of V when t=0, ie,
V%280%29=9.13+%2A+sqrt%280%29%2B12.09+
V%280%29=+%2812.09%29+million
It indicates viewership in 2002 - the zero date.
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2. For viewership in 2008, t=2008-2002=6
hence, viewership in 2008 =
9.13+%2A+sqrt%286%29+%2B+12.09+
=34.454 millions
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3. when will viewership exceed 45 million
9.13+%2A+sqrt%28t%29+%2B+12.09+%3E45
or sqrt%28t%29%3E+%2845-12.09%29%2F9.13
or sqrt%28t%29%3E+3.605
or+t+%3E+12.99+
, ie appro 13 years after 2002 , ie in 2015.
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