Question

The equation y=4x+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 x is the number of years after 2005. For what years will there be at least 40 million homes with these devices? Write your answer as an inequality involving x.

Answer 1

X ≥9 years after 2009.

Explanation:

Y=4x+4

Y-4=4x

X=(Y-4)/4

Y=number of U.S. households, in millions.

Y≥40

Y-4≥36

(Y-4)/4≥9

So, X≥9.