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
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