AnswersCA-Algebra I BUnit Test

Unit Test — Unit test Answers

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The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.Which would most likely indicate an association between the categorical variables?

Question illustration
A
The value of A is similar to the value of B.
B
The value of A is similar to the value of E.
C
The value of B is not similar to the value of C.
D
The value of B is not similar to the value of F.
2
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The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3
3.2 feet
4
4.8 feet
5
5.6 feet
6
6.8 feet
3

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

Question illustration
A
0.19
B
0.45
C
0.82
D
0.90
4

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

Question illustration
A
–3.14
B
–0.86
C
0.86
D
3.14
5

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
–
–2.75
0
0.25
1
1.75
2
2.25
6

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
7

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
1
14
2
20
4
45
5
54
8

Which best describes the strength of the model with an r-value of –0.93?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
9

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
10

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

Question illustration
A
The mean will increase, and the median will stay the same.
B
The median will increase, and the mean will stay the same.
C
The mean will increase more than the median, but both will increase.
D
The median will increase more than the mean, but both will increase.
11

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show a downward trend.

Question illustration
–
–0.83
–
–0.21
0
0.21
0
0.83
13

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

T
The median number of books to a box is 8.
T
The median number of books to a box is 9.
T
The mean number of books to a box is 11.
T
The mean number of books to a box is 12.
14

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
15

The table shows the average number of hours of daylight per day for the last four months of the year.

Question illustration
A
–0.993
B
–0.791
C
0.791
D
0.993
16

The data set represents the number of minutes Dan spent on his homework each night.30, 35, 35, 45, 46, 46, 52, 55, 57Which box plot correctly represents the data?

A
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
Option A
B
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
Option B
C
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
Option C
D
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Option D
17

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10
18

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
19

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
20

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.Table B: Frequency of Foreign-Language Studies by RowWhich table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Question illustration
A
Table A, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is taking a foreign language.
C
Table B, because the given condition is that the student is in high school.
D
Table B, because the given condition is that the student is taking a foreign language.

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