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## Complete the table below to solve the equation 2.5x − 10.5…

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Part 1.The table needed to solve the the equation is given below.

Part 2Given a graphwith x axis labeled years and y axis labeled revenue in dollars. The linefor printed ad revenue starts at (0, 3) and goes through the (10, 2). Theline for online ad revenue starts at (0, 0) zero and goes through the (10,3).

The equation of a staight line passing through points and points is given by

For the linefor printed ad revenue, the equation is given by

For the line for online ad revenue, the equation is given by

To get the approximate year that the two ad revenues were equal, we solve the two equations simultaneously.x + 10y = 30 – – – – – (1)3x – 10y = 0 – – – – – (2)

(1) + (2) gives: 4x = 30 which gives that x = 30 / 4 = 7.5

From 1: 7.5 + 10y = 3010y = 30 – 7.5 = 22.5y = 22.5 / 10 = 2.25

Because, in the graph the x-axis is labelled years, the value of x represents the number of years for the revenue from the two ads to be equal.

Therefore, the approximate year that the two ad revenues were equal is 7.5 years.

Part 3.Given the table below showing the width, in feet, of each beach at high tide measured where 1995 is represented by year 0.

Question 1.As can be seen from the table, the width, in feet, of the Western Beach at high tide is decreasing over the years while the width, in feet of the Dunes Beach is increasing over the years.

Therefore, the patterns shown by the erosion data measurements shown for each of the beaches in the table indicates that the width, in feet, of the Western Beach at high tide is decreasing, while the width, in feet of the Dunes Beach is increasing over the years.

Question 2.It can be observed that in year 11, the width of the Western Beach at high tide is 78 feet against the 75 feet width of the Dunes Beach at high tide while in year 12, the width of the Western Beach at high tide is 76 feet against the 80 feet width of the Dunes Beach at high tide.

This means that the width of the Western Beach at high tide was greater than that of Dunes Beach in year 11 but the width of the Western Beach at high tide was less than that of Dunes Beach in year 12.

Given that year 0 represent 1995, thus year 11 represent 2006 and year 12 represent 2007.Therefore, the beaches will have approximately the same width between the years 2006 and 2007.

Question 3.Given that the rates remain constant, to get a better approximation of when the two beaches will have the same width, we graph the points representing the widths of the two beaches over the years.The point at which the graphs representing the two beaches intersects will give a better approximation of when the two beaches will have the same width.

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