Question 315136
{{{V(t) = 9.13 * sqrt(t) + 12.09 }}}

1. V or y intercept is the value of V when t=0, ie,

{{{V(0)=9.13 * sqrt(0)+12.09 }}}
{{{V(0)= (12.09) 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 * sqrt(6) + 12.09 }}}

=34.454 millions

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3. when will viewership exceed 45 million

     {{{9.13 * sqrt(t) + 12.09 >45}}}

or {{{sqrt(t)> (45-12.09)/9.13}}}

or {{{sqrt(t)> 3.605}}}

or{{{ t > 12.99 }}}

, ie appro 13 years after 2002 , ie in 2015.

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