AnswersEF Math 12 1st Nine WeeksCumulative Exam

Cumulative Exam — Cumulative exam Answers

42 verified answers6 views
21
Free Preview

Suppose that the speed of a car, measured in miles per hour (mph), is monitored for a short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. Elapsed Time (sec) 2 4 6 8 10 Speed of Car (mph) 44 29 19 9 4 The data is represented in the table graphically with elapsed time on the horizontal axis and speed on the vertical axis. What general trend does the data reflect?

Question illustration
A
With increasing elapsed time, the speed remains the same.
B
With increasing elapsed time, the speed decreases.
C
There is no apparent trend in the data.
D
With increasing elapsed time, the speed increases.
22
Free Preview

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.Year1910192019301940195019601970198019902000Median Age25.124.624.324.322.822.823.224.726.126.8Determine the average rate of change in median age per year from 1950 to 1990. Describe what the average rate of change represents in this situation.

A
The median age of a man at the time of his first marriage is decreasing at an average rate of 0.0825 years of age per year.
B
The median age of a man at the time of his first marriage is increasing at an average rate of 0.0825 years of age per year.
C
The median age of a man at the time of his first marriage is decreasing at an average rate of 0.825 years of age per year.
D
The median age of a man at the time of his first marriage is increasing at an average rate of 0.825 years of age per year.
23

Find the slope of the line. a. 4 c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
24

You want to create an ID code for students at your school using three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. Characters may be repeated. Would using a list or tree diagram be a practical way to determine how many different codes are possible? Why or why not?

A
Yes, we have all the information we need
B
Yes, this is one way to find the answer
C
No, since there are too many choices
D
No, we don’t have all the information we need
25

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 0 0 7 up (0, 7) Table B a b c up or down y-intercept 7 0 0 up (0, 0) Table C a b c up or down y-intercept 7 0 0 up (0, 7) Table D a b c up or down y-intercept 0 7 0 up (0, 0)

Question illustration
A
Table A
B
Table B
C
Table C
D
Table D
26

Solve the equation. Then check your solution. (15 + 7d) =

Question illustration
A
3
B
2
C
–4
D
–2
27

Write an equation of the line that passes through a pair of points:

Question illustration
A
y = x + 3
B
y = x - 3
C
y = -x + 2
D
y = -x - 2
28

Continue the following pattern; describe the tenth figure in this pattern:

Question illustration
A
81 small squares forming a larger 9 by 9 square
B
100 small squares forming a larger 10 by 10 square
C
100 small squares forming a larger 9 by 9 square
D
81 small squares forming a larger 10 by 10 square
29

Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.size of household and amount of water bill

A
positive relationship; as the size of the household decreases, the amount of the water bill increases.
B
positive relationship; as the size of the household increases, the amount of the water bill also increases.
C
negative relationship; as the size of the household decreases, the amount of the water bill increases.
D
negative relationship; as the size of the household increases, the amount of the water bill also increases.
30

Huang, José, and Sam ran a 100-m dash. José did not come in second; Huang did not come in third. José’s time was 2 seconds faster than that of the oldest boy in the race. In what order did the boys finish the race?

A
José, Huang, Sam
B
José, Sam, Huang
C
Sam, José, Huang
D
Sam, Huang, José
31

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given: 50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 The following histogram is a representation of the data. How would you describe the shape of the distribution of the data? How is it skewed?

Question illustration
A
The distribution is not skewed at all.
B
The distribution is somewhat skewed to the right.
C
The distribution is somewhat skewed to the left.
D
The distribution is symmetrical.
32

Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

Question illustration
A
8, 2, 0, 2, 8; Graph A
B
-8, -2, 0, -2, -8; Graph A
C
8, 2, 0, 2, 8; Graph B
D
-8, -2, 0, -2, -8; Graph B
33

During the spring and summer, a concession stand at a community Little League baseball game field sells soft drinks and other refreshments. To prepare for the season, the concession owner refers to the previous year’s files, in which he had recorded the daily soft drink sales (in gallons) and the average daily temperature (in degrees Fahrenheit). The data is shown in the table below. t, Temperature g, Soft Drink Sales (gal) 52 35 55 42 61 50 66 53 72 66 75 68 77 72 84 80 90 84 94 91 97 95 If the data points (t, g) are plotted on a graph, it will look like the following graph: Does there appear to be a linear trend between the temperature, t and the soft drink sales, g? Is there an exact linear fit?

Question illustration
A
No, there does not appear to be a linear trend.
B
No, there does not appear to be a linear trend; the fit is not exact.
C
Yes, there appears to be a linear trend and the fit is exact.
D
Yes, there appears to be a linear trend, but the fit is not exact.
34

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 0 0 7 up (0, 7) Table B a b c up or down y-intercept 7 0 0 up (0, 0) Table C a b c up or down y-intercept 7 0 0 up (0, 7) Table D a b c up or down y-intercept 0 7 0 up (0, 0)

Question illustration
A
Table A
B
Table B
C
Table C
D
Table D
35

Use the quadratic formula to solve , and then verify your answer by graphing. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
36

Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
37

The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph. Land Use Acres Relative Frequency Forest 10,050 0.15 Farm 6700 0.10 Urban 50,250 0.75

Question illustration
A
Farm - Blue - 75% Forest -Green - 15% Urban - Red - 10%
B
Urban - Blue - 75% Forest - Green - 15% Farm - Red - 10%
C
Forest - Blue - 75% Urban - Green - 15% Farm - Red - 10%
D
Forest - Blue - 75% Farm - Green - 15% Urban - Red - 10%
38

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to distribute 8 different books among 21 children if no child gets more than one book?

Question illustration
A
Combination;
B
Combination;
C
Permutation;
D
Permutation;
39

State which of the following ordered pairs is a function.Set A: (-1, 0), (-2, 1), (4, 3), (3, 4)Set B: (1, 4), (2, 3), (3, 2), (4, 1)Set C: (2, 1), (3, 2), (2, 3), (1, 4)

A
Set A
B
Set B
C
Both Set A and Set B
D
Set C
40

Examine the following figures to find out the pattern. How many sides would the 10th figure in this sequence have?

Question illustration
A
10 sides
B
12 sides
C
13 sides
D
14 sides

Did you find these answers helpful?

More from this Course

Quiz
19 verified answers

Reading Graphs

Quiz
17 verified answers

Organizing Data

Quiz
16 verified answers

Solving an Equation