Respuesta :
From 2013, more than $2 billion will be spent for streaming music services
Solution:
Given that,
The amount of money spent for music services t years after 2010 can be approximated by:
m(t) = 0.54t + 0.536
where m(t) is in billions of dollars
For those years for which more than $2 billion will be spent for music services, write inequality as:
0.54t + 0.536 > 2
Solve the inequality,
[tex]\mathrm{Multiply\:both\:sides\:by\:}1000\\\\0.54t\cdot \:1000+0.536\cdot \:1000>2\cdot \:1000\\\\540t+536>2000\\\\\mathrm{Subtract\:}536\mathrm{\:from\:both\:sides}\\\\540t+536-536>2000-536\\\\\mathrm{Simplify}\\\\540t>1464\\\\\mathrm{Divide\:both\:sides\:by\:}540\\\\\frac{540t}{540}>\frac{1464}{540}\\\\\mathrm{Simplify}\\\\t>\frac{122}{45}\\\\t > 2.71[/tex]
Thus, approximately after 3 years, $2 billion will be spent for music services
Thus, ( 2010 + 3 = 2013 ) from 2013, more than $2 billion will be spent for streaming music services
