Standardized Test Practice - Davis School District / … 11 Assessments 1035 11 Standardized Test Practice Name Date 1. Determine which graph could represent the relation between time

© 2

012

Car

negi

e Le

arni

ng

Chapter 11 Assessments 1035

11

Standardized Test Practice

Name Date

1. Determine which graph could represent the relation between time and elevation for the given situation.

A boy starts at the top of a sledding hill and sleds to the bottom. He then walks to the top and has some hot chocolate with friends. He sleds down one more time and walks back up the hill.

a.

x

y

Time

Ele

vatio

n

b.

x

y

Time

Ele

vatio

n

c.

x

y

Time

Ele

vatio

n

d.

x

y

Time

Ele

vatio

n

8047_Assess_Ch11.indd 1035 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng

1036 Chapter 11 Assessments

11

Standardized Test Practice page 2

2. The number of hammers sold each year by a hardware store decreases by 150 hammers each year. What type of function would most likely model this problem situation?

a. a linear function

b. an exponential function

c. a quadratic function

d. none of the above

3. The graph shows the relation between time and distance from home for a woman during her 60-minute run.

0

4000

4500

3000

2000

1000

3500

2500

1500

500

20 40 60 80 9010 30 50 70x

y

Time (minutes)

Dis

tanc

e fr

om H

ome

(yar

ds)

Which of the following is a true statement?

a. The relation is not a function because the graph does not pass the Vertical Line Test.

b. The relation is a function because the graph passes the Horizontal Line Test.

c. The relation is not a function because the graph passes the Vertical Line Test.

d. The relation is a function because the graph passes the Vertical Line Test.

8047_Assess_Ch11.indd 1036 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date

4. The graph shows the student enrollment at a high school each year since 2000.

0

575

600

525

475

425

550

500

450

400

4 8 12 16 182 6 10 14x

y

Years Since 2000

Stu

den

ts E

nrol

led

Which type of function is modeled in this graph?




d. none of these

8047_Assess_Ch11.indd 1037 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


5. The table gives the results of a study of caffeine consumption late in the day and the effect on qualityof sleep.

Amount of Caffeine (milligrams)

Relative Probability of Poor Quality of Sleep

50 0.8

100 1.5

150 2

200 3

250 5

300 9

350 16

400 22

450 30

500 45

What regression equation(s) model the data?

a. y 5 0.54x 2 1.01

b. y 5 0.09 ? 11x

c. y 5 0.54x 2 1.01 and y 5 0.09 ? 11x

d. y 5 0.09x 2 11 and y 5 0.54 ? 1.01x

8047_Assess_Ch11.indd 1038 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date

6. Which type of function is modeled in the graph shown?

x

y

Time

Ele

vatio

n

a. step function

b. linear piecewise function

c. quadratic piecewise function


7. The number of cell phones sold each year by an electronics store increases by a factor of 1.5 each year. What type of function would most likely model this problem situation?





8047_Assess_Ch11.indd 1039 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


8. The table gives the results of a study of caffeine consumption late in the day and the effect on qualityof sleep.



50 0.8

100 1.5

150 2

200 3

250 5

300 9

350 16

400 22

450 30

500 45

Suppose a health magazine is featuring an article about the caffeine study and plans on showing a photo of a person sipping a cup of coffee. Which would be appropriate to use as a caption for the photo?

a. A cup of coffee contains approximately 100 milligrams of caffeine. Doubling your caffeine intakefrom 200 milligrams to 400 milligrams doubles your chance of having a poor quality of sleep.

b. A cup of coffee contains approximately 100 milligrams of caffeine. Every additional cup of coffeeyou drink doubles your chance of having a poor quality of sleep.

c. A cup of coffee contains approximately 100 milligrams of caffeine. By drinking two cups of coffee,you triple your chance of having poor quality of sleep.

d. A cup of coffee contains approximately 100 milligrams of caffeine. By drinking three cups ofcoffee, you triple your chance of having a poor quality of sleep.

8047_Assess_Ch11.indd 1040 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date


0

4000

4500

3000

2000

1000

3500

2500

1500

500

20 40 60 80 9010 30 50 70x

y

Time (minutes)

Dis

tanc

e fr

om H

ome

(yar

ds)

Which interval could represent when the woman stopped to stretch?

a. between 10 minutes and 20 minutes

b. between 15 minutes and 20 minutes

c. between 20 minutes and 30 minutes

d. between 40 minutes and 45 minutes

8047_Assess_Ch11.indd 1041 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


10. The graph shows the student enrollment at a high school each year since 2000. The data is modeled using a quadratic function.

0

575

600

525

475

425

550

500

450

400

4 8 12 16 182 6 10 14x

y

Years Since 2000

Stu

den

ts E

nrol

led

Which of the following is true about the function shown in the graph?

a. The function has an absolute minimum of about 440 students.

b. The function has an absolute maximum of about 440 students.

c. The function has an absolute maximum of about 600 students.

d. The function has no absolute minimum or maximum.

8047_Assess_Ch11.indd 1042 20/04/12 1:07 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date

11. The table gives the results of a study of caffeine consumption late in the day and the effect on quality of sleep.


50 100 150 200 250 300 350 400 450 500


0.8 1.5 2 3 5 9 16 22 30 45

Which scatter plot shows the relative probability of having a poor quality of sleep as a function of the milligrams of caffeine consumed?

a.

0

40

45

30

20

10

35

25

15

5

100 200 300 400x

y


Rel

ativ

e P

rob

abili

ty o

f Poo

rS

leep

Qua

lity

b.

0

400

450

300

200

100

350

250

150

50

10 20 30 40 455 15 25 35x

y


Rel

ativ

e P

rob

abili

ty o

f Poo

rS

leep

Qua

lity

c.

0

400

450

300

200

100

350

250

150

50

10 20 30 40 455 15 25 35x

y

Relative Probability of PoorSleep Quality

Am

ount

of C

affe

ine

(mill

igra

ms)

d.

0

40

45

30

20

10

35

25

15

5

100 200 300 400x

y

Relative Probability of PoorSleep Quality

Am

ount

of C

affe

ine

(mill

igra

ms)

8047_Assess_Ch11.indd 1043 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11



0

575

600

525

475

425

550

500

450

400

4 8 12 16 182 6 10 14x

y

Years Since 2000

Stu

den

ts E

nrol

led

What does the y-intercept of the graph of the function represent?

a. the number of students enrolled at the school before school started

b. the number of seniors enrolled at the school in 2000

c. the number of students enrolled at the school in 2000

d. the number of students enrolled at the school in 2001

8047_Assess_Ch11.indd 1044 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date

13. The number of personal computers sold each year by a computer store increases for a few years, peaks, and then decreases for a few years. What type of function would most likely model this problem situation?






0

4000

4500

3000

2000

1000

3500

2500

1500

500

20 40 60 80 9010 30 50 70x

y

Time (minutes)

Dis

tanc

e fr

om H

ome

(yar

ds)

How many yards from home was the woman after 25 minutes of running?

a. 1500 yards

b. 2000 yards

c. 2500 yards

d. 3000 yards

8047_Assess_Ch11.indd 1045 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11



0

575

600

525

475

425

550

500

450

400

4 8 12 16 182 6 10 14x

y

Years Since 2000

Stu

den

ts E

nrol

led

According to the function, when was the student enrollment about 475 students?

a. 2006

b. 2010

c. 2004 and 2012

d. 2006 and 2010

8047_Assess_Ch11.indd 1046 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date




50 0.8

100 1.5

150 2

200 3

250 5

300 9

350 16

400 22

450 30

500 45

If you use an exponential function to model the problem situation, what would be the domain of the function?

a. all real numbers

b. all real numbers greater than or equal to 0

c. all real numbers greater than or equal to 0 and less than or equal to 500

d. all real numbers greater than or equal to 0 and less than or equal to 45

8047_Assess_Ch11.indd 1047 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11


17. The number of charm bracelets sold by a jewelry store increases, then stays the same for a few years, increases the next two years, and then decreases. What type of function would most likely model this problem situation?






0

4000

4500

3000

2000

1000

3500

2500

1500

500

20 40 60 80 9010 30 50 70x

y

Time (minutes)

Dis

tanc

e fr

om H

ome

(yar

ds)

When was the woman 1000 yards from her home?

a. after 10 minutes only

b. after 55 minutes only

c. after 5 minutes and then again after 55 minutes

d. after 10 minutes and then again after 55 minutes

8047_Assess_Ch11.indd 1048 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11


Name Date


0

575

600

525

475

425

550

500

450

400

4 8 12 16 182 6 10 14x

y

Years Since 2000

Stu

den

ts E

nrol

led

According to the function, what will be the student enrollment in 2013?

a. about 440

b. about 460

c. about 480

d. about 500

8047_Assess_Ch11.indd 1049 20/04/12 1:08 PM

© 2

012

Car

negi

e Le

arni

ng


11





50 0.8

100 1.5

150 2

200 3

250 5

300 9

350 16

400 22

450 30

500 45

Predict the relative probability that a person who consumes 375 milligrams of caffeine will have a poor quality of sleep.

a. about 15%

b. about 19%

c. about 26%

d. about 30%

8047_Assess_Ch11.indd 1050 20/04/12 1:08 PM

Documents

Standardized Test Practice - Davis School District / … 11 Assessments 1035 11 Standardized Test Practice Name Date 1. Determine which graph could represent the relation between time