Estimated revenue R in billons of dollars from thr newspaper

Estimated revenue \"R\" (in billons of dollars) from thr newspaper industry canbe approximated by R=-3.6x + 64.4. If x=6 is the year 2006, when will the revenue be 7 billion? What was the revenue in 2014?

Solution

R=-3.6x + 64.4

If x=6 in 2006, then we will use the same convention of \"x = Year - 2000\"

The revenue is 7 billion in ?

7 = -3.6x+64.4

3.6x=64.4-7

x =(64.4-7)/3,6 = 1.594 or 1.6

So, with x=1.594 or ~1.6 years, the actual year is 2000+1.6 = 2001.6 or 2001 and 6 months.

So, the newspaper industry will breach $ 7 billion in 2001 and 6 months.

In 2014, the revenues will be: R=-3.6(2014-2000) + 64.4. = 14 or $14 billion