SOLUTION: The equation y=5x+5 estimates the number of u.s. households in millions, expected to install devices that recieve and manage broadband TV and internet content to the home, where x
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Question 451657: The equation y=5x+5 estimates the number of u.s. households in millions, expected to install devices that recieve and manage broadband TV and internet content to the home, where x is the number of years after 2002. for what years will there be at least 20 million homes with these devices? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The equation y=5x+5 estimates the number of u.s. households in millions, expected to install devices that recieve and manage broadband TV and internet content to the home, where x is the number of years after 2002. for what years will there be at least 20 million homes with these devices?
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The given equation is the standard form for a straight line: y=mx+b, m=slope or rate of change and b=y-intercept.
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For given equation, y=5x+5, the rate of change is 5 million devices/year increase, starting from year 2002 which in effect is the y-intercept at 5 million. Without doing any algebra, you can see it will take 3 years to increase devices in the home from 5 million to 20 milllion at 5 million increase per year.
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Here is the algebra:
y=5x+5
20=5x+5
5x=20-5=15
y=3 years (ans)
See the graph below for a visual of this line
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