3-5 Problem Solving Slopes of Lines

Name
T E K S G.7.B
LESSON
3-5
Date
Class
Problem Solving
Slopes of Lines
Graph the line that represents each situation. Then find and interpret the slope
of the line.
1. Mara is jogging at a constant speed.
She jogs 2 miles in 14 minutes. After 35
minutes, she has jogged 5 miles. Graph
the line that represents Mara’s distance
traveled.
2. A turtle swimming at a constant speed
travels 12 miles by 3:00 P.M. and 28 miles
by 7:00 P.M. Graph the line that represents
the turtle’s distance traveled.
1, which means that
The slope is __
7
Mara is jogging at an average speed
1 mi/min.
of __
7
The slope is 4, which means that
the turtle is swimming at an average
speed of 4 mi/h.
Choose the best answer.
3. A hang glider who started at 7:55 A.M.
has traveled at a constant speed as
shown in the table.
Distance Traveled
8:00 A.M.
2 mi
8:30 A.M.
14 mi
In-Line Skating Speed
40
If the line that represents the hang glider’s
distance traveled is graphed, which is a
true interpretation of the slope?
A The hang glider is traveling at an
average speed of 24 miles per hour.
B The hang glider is traveling at an
average speed of 16 miles per hour.
C The hang glider is traveling at an
average speed of 12 miles per minute.
D The hang glider is traveling at an
average speed of 7 miles per minute.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
19
Distance (mi)
Time
4. The line represents the distance traveled
by an in-line skater traveling at a constant
speed. What is the rate of change
represented in the graph?
30
(2.5, 25)
20
10
0
(1, 10)
1
2
3
4
Time (h)
F
G
H
J
25 mi/h
15 mi/h
10 mi/h
0.1 mi/h
Holt Geometry
Name
T E K S G.7.B
Date
Class
Problem Solving
LESSON
3-5
Slopes of Lines
Graph the line that represents each situation. Then find and interpret the slope
of the line.
1. Mara is jogging at a constant speed.
She jogs 2 miles in 14 minutes. After 35
minutes, she has jogged 5 miles. Graph
the line that represents Mara’s distance
traveled.
*OGGING3PEED
4IMEMIN
3WIMMING3PEED
$ISTANCEMI
$ISTANCEMI
2. A turtle swimming at a constant speed
travels 12 miles by 3:00 P.M. and 28 miles
by 7:00 P.M. Graph the line that represents
the turtle’s distance traveled.
1, which means that
The slope is __
7
Mara is jogging at an average speed
1 mi/min.
of __
7
4IMEH
The slope is 4, which means that
the turtle is swimming at an average
speed of 4 mi/h.
Choose the best answer.
3. A hang glider who started at 7:55 A.M.
has traveled at a constant speed as
shown in the table.
Distance Traveled
8:00 A.M.
2 mi
8:30 A.M.
14 mi
In-Line Skating Speed
40
If the line that represents the hang glider’s
distance traveled is graphed, which is a
true interpretation of the slope?
A The hang glider is traveling at an
average speed of 24 miles per hour.
B The hang glider is traveling at an
average speed of 16 miles per hour.
C The hang glider is traveling at an
average speed of 12 miles per minute.
D The hang glider is traveling at an
average speed of 7 miles per minute.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
19
Distance (mi)
Time
4. The line represents the distance traveled
by an in-line skater traveling at a constant
speed. What is the rate of change
represented in the graph?
30
(2.5, 25)
20
10
0
(1, 10)
1
2
3
4
Time (h)
F
G
H
J
25 mi/h
15 mi/h
10 mi/h
0.1 mi/h
Holt Geometry