Name: 
 

Math 12F LG 17-18 Practice Quiz #4


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Choose the best estimate for 55° in radians.
A.
0.5
B.
1.0
C.
1.5
D.
2.0
 

 2. 
Choose the best estimate for 136° in radians.
A.
mc002-1.jpg
B.
mc002-2.jpg
C.
mc002-3.jpg
D.
mc002-4.jpg
 

 3. 
Choose the best estimate for 7 radians in degrees.
A.
400°
B.
460°
C.
520°
D.
580°
 

 4. 
Choose the best estimate for the central angle in radians.
mc004-1.jpg
A.
mc004-2.jpg
B.
mc004-3.jpg
C.
mc004-4.jpg
D.
mc004-5.jpg
 

 5. 
Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through 300°?
A.
2:40
B.
2:50
C.
3:00
D.
3:10
 

 6. 
Determine the period of the following graph.
mc006-1.jpg
A.
5
B.
6
C.
7
D.
8
 

 7. 
Determine the range of the following graph.
mc007-1.jpg
A.
{y | 1 £ y £ 5, y Î R}
B.
{y | –2 £ y £ 2, y Î R}
C.
{y | 0 £ y £ 4, y Î R}
D.
{y | y Î R}
 

 8. 
Determine the amplitude of the following function.
y = 0.5 sin (x – 2)
A.
0.5
B.
1
C.
2
D.
0
 

 9. 
Determine the equation of the sinusoidal regression function for the data.
x
0
1
2
3
4
5
6
7
y
–1.0
1.1
11.1
16.5
10.5
0.6
–0.8
8.0
A.
y = 7.4 sin (1.2x – 2.0) + 9.1
B.
y = 7.4 sin (1.2x – 2.0) – 9.1
C.
y = 9.1 sin (1.2x – 2.0) + 7.4
D.
y = 9.1 sin (1.2x – 2.0) – 7.4
 

 10. 
The amount of daylight in a town can be modelled by the sinusoidal function
d(t) = 4.37 cos 0.017t + 12.52
where d(t) represents the hours of daylight and t represents the number of days since June 20, 2012.
How many hours of daylight should be expected on June 20, 2013?
A.
16.80 h
B.
16.84 h
C.
16.88 h
D.
16.92 h
 

Short Answer
 

 1. 
Determine the midline of the following graph.
sa001-1.jpg
 

 2. 
The following data set is sinusoidal. Determine the missing value from the table.
x
–13
–12
–11
–10
–9
–8
–7
y
17
20
17
 
3
0
3
 

 3. 
Use sinusoidal regression to determine the missing value, to the nearest tenth.
x
1
2
3
4
5
6
7
8
y
12.4
11.0
5.6
 
11.7
12.0
6.5
5.6
 

Problem
 

 1. 
For the following pair of angle measures, determine which measure is greater. Explain your reasoning.
800°, 4.5p
 

 2. 
Meena is sitting in an inner tube in the wave pool at West Edmonton Mall. The following table gives the depth of the water below her.
Time (s)
0
1
2
3
4
5
6
7
Depth (m)
3.1
3.8
4.0
3.5
2.6
2.1
1.9
2.4

a) Create a scatter plot, and draw a curve of best fit for the data using sinusoidal regression.
b) Determine the depth of the water after 9 s, to the nearest tenth of a metre. Show your work.
 



 
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