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
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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.
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.
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
d. none of the above
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?
8. 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
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.
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?
a. a linear function
b. an exponential function
c. a quadratic function
d. none of the above
14. 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)
How many yards from home was the woman after 25 minutes of running?
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?
a. a linear function
b. an exponential function
c. a quadratic function
d. none of the above
18. 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)
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