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The equation y=3x+4 estimates the number of U.S. households, in millions, expected to install devices that receive and manage broadband TV and Internet content to the home, where is the number of years after 2004. In what years will there be at least 31 million homes with these devices? Write your answer as an inequality involving

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Cricetus

In "9 years" there will be at least 31 million homes with these devices

According to the question,

The equation is:

  • [tex]y = 3x+4[/tex]

At least 31 million homes,

  • [tex]y \geq 31[/tex]

then,

→ [tex]3x+4 \geq 31[/tex]

By subtracting "4" from both sides of the equation,

→ [tex]3x+4-4 \geq 31-4[/tex]

→              [tex]3x \geq 27[/tex]

→                [tex]x \geq \frac{27}{3}[/tex]

→                [tex]x \geq 9[/tex]

Thus the answer above is appropriate.

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