2.a newspaper started an online version of its paper 14 years ago. in a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal.
graph with x axis labeled years. y axis labeled revenue in dollars. the line for printed ad revenue starts at 0, 3 and goes through the10, 2. the line for online ad revenue starts at 0, 0 zero and goes through the 10, 3.

At year 14 online ads revenues  are more than double of printed ads

That is, after 7 and a half years the two ad revenues were equal.

Step-by-step explanation:

Printed ads revenues line:

y-intercept: 3

slope: (2-3)/(10-0) = -1/10

equation: y1 = (-1/10)*x + 3

Online ads revenues line:

y-intercept: 0

slope: (3-0)/(10-0) = 3/10

equation: y2 = (3/10)*x

where x represents years elapsed since the newspaper started an online version of its paper, and y represents revenue in dollars

At x = 14 years:

y1 = (-1/10)*(14) + 3 = 1.6

y2 = (3/10)*(14) = 4.2

Then, online ads revenues  are more than double of printed ads (4.2 > 1.6 *2 = 3.2)

In the year that the two ad revenues were equal y1 = y2, then:

(-1/10)*x + 3 = (3/10)*x

3 = (3/10)*x + (1/10)*x

3 = (2/5)*x

3*(5/2) = x

7 1/2 = x

That is, after 7 and a half years the two ad revenues were equal.

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