Question

The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods. The equation y=6.9x+40.1 can be used to project spending on internet search ads, in billions of dollars, x years after 2000. Estimate spending on internet ads in 2005. In what year will spending on internet search ads reach $102 billion?

Answer 1

Answer: In 2005 the amount spend on internet ads = $74.6 billions.

In 2009 spending on internet search ads will reach $102 billion .

Step-by-step explanation:

Given : The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods.

The equation $y=6.9x+40.1$ can be used to project spending on internet search ads, in billions of dollars, x years after 2000.

To estimate spending on internet ads in 2005.

We need to put x= 5 in the above equation   [∵2005-2000=5]

$y=6.9(5)+40.1$

$y=34.5+40.1$

$y=74.6$

i.e. In 2005 the amount spend on internet ads = $74.6 billions.

Put y= 102 in the given equation, we get

$102=6.9x+40.1$

$61.9=6.9x$   [Subtract 40.1 from both sides]

$x=\dfrac{61.9}{6.9}=\dfrac{619}{69}=8.97101449275\approx9$

And 2000+9=2009 [x is the number of years after 2000]

Hence, in 2009 spending on internet search ads will reach $102 billion .