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School
Portland Community College *
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Course
131
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
2
Uploaded by DoctorPencilCobra29 on coursehero.com
1.
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
f(2)=2.5(2)-10.5=-5.5
g(2)=64(0.5^2)=16
3
f(3)2.5(3)-10.5=-3
g(3)=64(0.5^3)=8
4
f(4) 2.5(4)-10.5=0.5
g(4)=64(0.5^4)=4
5
f(5)=2.5(5)-10.5=2
g(5)=64(0.5^5)=2
6
f(6)=2.5(6)-10.5=4.5
g(6)=64(0.5^6)=1
X=2 to 6
X=2 to 6
x=5
2.
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.”
A.
Use the graph below to justify the lead executive’s statement.
B.
Determine the approximate year that the two ad revenues were equal.
A. The printed revenue peaked the most at 3 million and has been steadily falling since. The
online ad revenue began with nothing and has increased the millions steadily. The printed ad
revenue has been lowering and the online revenue has been increasing. Therefore, it would be
the most accurate of the lead executive.
B. I would say year 7 and 8 are the most equal.
3.
4.
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
A.
Describe the patterns shown by the erosion data measurements shown for each
of the beaches in the table.
The Western Beach shows to be losing feet in sand or water, and the Dunes
Beach is gaining width instead. Over the years it shows Western beach losing by
ten feet, then slowly decreasing. In Dunes beach it shows gaining by 20-25 feet
then slowly increasing from 5 to 10 feet over time.
B.
Between which years will the beaches have approximately the same width
Around years 11 and 12 is the most similar.
C.
Assuming these rates remain constant, what can you do to get a better
approximation of when the two beaches will have the same width?
You could plot the data against the time and draw a cure through the data. Then
where the two lines cross would be where both beaches are around the same
width at 7 years.
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