Name
LESSON
4-3
Date
Class
Algebra Lab
Gather and Record Data to Determine Functional Relationship Between Quantities
Use with Lesson 4-3
You can apply what you have learned about functional relationships to
determine the relationship between time and your resting heart rate. You
are going to work with a partner to gather data, graph it and then analyze
the data to determine if there is a functional relationship.
Materials needed: Watch with a second hand, stop watch or timer
Your pulse is the same as your heart rate. A pulse is the beat you can feel against
the wall of an artery when your heart beats. It is easier to feel the pulse in arteries
close to the skin, such as your carotid artery. This is the artery that is found on the
neck.
Activity
Work with a partner.
Step 1 Finding your pulse: Place the tip of your middle and index fingers on the
front of ONE side of your neck just below your ear. You should feel a pulsing
sensation on your fingers; this is your pulse. Do not press hard.
Step 2 Counting your pulse: Count the first beat as 0, then 1, 2, and so on.
Step 3 Stay seated in a chair and practice counting your pulse for 30 seconds.
One person should monitor the watch and the other person should take his
or her pulse.
Step 4 After being seated for at least five minutes, Start the time keeping and
start counting your pulse. Record your cumulative pulse every 10-seconds.
Record your data in the table. (Your cumulative pulse could range between
a low of 80 and a high of 240.)
Time in Seconds
10 20 30 40 50 60 70 80 90 100 110 120
Heart Beat
Step 5 Have the other person complete the activity.
Step 6 Graph the data. Label the horizontal axis time.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
31
Holt Algebra 1
Name
LESSON
4-3
Date
Class
Algebra Lab
Gather and Record Data to Determine Functional Relationship Between Quantities
Try This
1. Does there appear to be a relationship between time and resting heart beat?
2. Is it possible to connect the data points with one straight line?
3. Draw the line on the graph. What is the slope of the line?
4. What does the slope of the line represent (with respect to your heart rate)?
5. What would you estimate your heart rate to be after three minutes?
6. Critical Thinking If you were to analyze other students’ graphs, would you
expect to find the slope of the line on their graph to be the same as yours?
Explain your answer:
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
32
Holt Algebra 1
Answer Key
continued
4. No; the x-value 1 has two y-values:
2 and 4.
LESSON 4-3
4ERM
.UMBER
5. No; an x-value has more than one
y-value.
yes
6.
(0, 5)
4
2
–4 –2
(–2, –3) –2
y
(3, 5)
(1, 4)
(2, 3)
(1, 2)
2
x
&IGURE
,ENGTHOF
TABLE
(EIGHTOF
BASE
,ENGTHOF
TABLETOP
(EIGHTOF
BASE
,ENGTHOF
TABLETOP
(EIGHTOF
BASE
,ENGTHOF
TABLETOP
(EIGHTOF
BASE
N
,ENGTHOF
TABLETOP
(EIGHTOF
BASEN
N
–4
8. Possible answer: A relation is a function
if there are no vertical lines that intersect
the graph at more than one point.
6ALUE
OF4ERM
%XPRESSION
/RDERED
FOR.UMBER .UMBER
0AIR
OF"LOCKS
OF"LOCKS
4
7. 1; yes
$ESCRIPTION
OF&IGURE
,ENGTHOF
TABLETOP
(EIGHTOF
BASE
NN
Try This
1. There are 2 base columns.
9. The vertical-line test works because it
shows if there is more than 1 y-value for
an x-value.
2. The height of the base is 1 block, and a
total of 6 blocks are in the table.
Try This
1. not a function; possible answer: (0, 4),
(0, 4)
3. Yes; if the height of the table is 10
blocks, a total of 24 blocks will be in the
table: 4 2(10) 24.
2. function
4. 4 2n
3. not a function; possible answer: (3, 2),
(3, 2)
5. 54
LESSON 4-3
Gather and Record Data to Determine
Functional Relationship Between
Quantities
1. Yes, there appears to be a linear
relationship.
2. Yes, they more or less connect with a
straight line.
3. Answers will vary.
4. Slope represents the beats per time.
5. Answers will vary.
6. No, each person’s heart rate is not the
same, they vary for many reasons.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
116
Holt Algebra 1