AnswersApplications and ModelingTopic Test

Topic Test Answers

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According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table: Month Average Maximum Monthly Temperature Jan 48.1 Feb 50.9 Mar 62.4 Apr 67.0 May 76.5 Jun 83.9 Jul 86.8 Aug 88.1 Sep 79.2 Oct 69.9 Nov 59.5 Dec 49.6 To get a feel for the relationship between the month and the average high temperatures, the data is plotted on the following scatter plot. If the plot was extended to a two year period with 1 = Jan of the first year, 12 = Dec of the first year, 13 = Jan of the second year, 24 = Dec of the second year, describe the plot with the additional information.

Question illustration
A
Linear
B
Random dots
C
Wave-like and repetitive
D
Quadratic
42
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For the triangle above, find sin A.

Question illustration
A
0.724
B
49°
C
50°
D
0.69
43

Interpret the following sine regression model. What is the value of c in this equation?

Question illustration
A
0.400
B
1.093
C
0.245
D
0.884
44

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and a = 10 meters, find b.

Question illustration
A
17.32 m
B
6.93 m
C
14 m
D
9.99 m
45

The Sears Tower in Chicago is 1454 feet high. Sketch and find the angle of elevation from a point 750 feet from the base to the top of the tower. Relate your answer to the nearest tenth.

A
62.7º
B
27.3º
C
31.1º
D
58.9º
46

What is the domain of a cosine function?

A
irrational numbers
B
All real numbers
C
rational numbers
D
positive integers
47

The average number of customers per day at a home improvement store is given in the following table. Let x represent the day where 1 = Sun of the first week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use a graphing calculator to produce a sine regression model for the data. Round a, b, c, and d to the nearest thousandth.DaySunMonTueWedThuFriSatNumber of Customers1157760516886120

A
33.690sin(0.887x + 1.337) + 81.684
B
34.081sin(0.888x - 1.341) + 82.822
C
34.081sin(0.888x + 1.341) + 82.822
D
33.690sin(0.887x + 1.337) - 81.684
48

NoteCDEFGABFrequency(Hz)261.6293.7329.6349.2392.0440.0493.9The table above lists the frequencies of the C major key. Determine the ratio of the notes to middle C. Express the answers as a simple integer ratio. (Ratios will be approximate due to rounding.) The smaller the numbers in the ratio, the greater the consonance. Decide which of the notes when played with middle C would have the greatest dissonance.

A
G and C
B
B and C
C
D and C
D
E and C
49

In a right triangle, which ratio represents the sine of an angle? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
50

Convert the angle to radians. Leave as a multiple of . a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
51

Complete the table: 0 90 ? 0

Question illustration
A
1
B
-1
C
2
D
0
52

Find tan A for the triangle below.

Question illustration
A
0.868
B
0.496
C
1.75
D
0.5714
53

Choose the graph of the following function: Graph A Graph B Graph C Graph D

Question illustration
A
Graph A
B
Graph B
C
Graph C
D
Graph D
54

Find tan–11.4826 to the nearest degree.

A
11°
B
56°
C
4°
D
34°
55

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table: Month Average Maximum Monthly Temperature Jan 48.1 Feb 50.9 Mar 62.4 Apr 67.0 May 76.5 Jun 83.9 Jul 86.8 Aug 88.1 Sep 79.2 Oct 69.9 Nov 59.5 Dec 49.6 Let x represent the months and y represent the average maximum monthly temperature. Plot the data on a scatterplot. Choose the plot that best represents the data. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
56

Consider the following sine regression model Predict y(14).

Question illustration
A
94.8
B
61.5
C
9.4
D
77.3
57

Choose the graph of the following function: Graph A Graph B Graph C Graph D

Question illustration
A
Graph A
B
Graph B
C
Graph C
D
Graph D
58

Determine the amplitude of the function y = 2 cos x from the graph shown below:

Question illustration
A
1
B
2
C
3
D
4
59

Consider the following triangle. If sin , what is the measure of the angle?

Question illustration
A
53.1º
B
36.9º
C
30.1º
D
59º
60

The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies.NoteCDEFGABFrequency(Hz)261.6293.7329.6349.2392.0440.0493.9Determine the ratio of the note G to middle C.

A
1.4224
B
1.4983
C
1.3348
D
1.3654

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