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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6

A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.”
Use the graph below to justify the lead executive’s statement.
Determine the approximate year that the two ad revenues were equal.
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Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:

Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Sagot :

The answers are as follows:

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

1. By substituting the values x= 1, 2, 3..

We get the point where f(x)= g(x)

So, f(5)= g(5) =2

Hence, the value of x is 5.

2. As per the given data, during year 14,

revenue from online ads is approximately $4.2 million, whereas revenue from online ads is double than revenue from printed ads.

Also, both line intersect inbetween 7 and 8th year and both online ads and printed ads generated an approximate revenue of $2.2 million.

3. Western Beach erodes from 100 ft to 70 ft.

So, rate of erosion = 30 ft/15 yr = 2 ft/yr.

and,  Dunes Beach builds up from 20 ft to 95 ft.

So,  rate of buildup = 75 ft/15 yr = 5 ft/yr.

Hence,  Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

b) From the table, beaches will have the same width sometime in year 11 (2006).

c) If the rate remains constant then there is no same width cause of decrease in western beach and increase dunes beach.

Learn more about data here:

https://brainly.com/question/2094216

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