Word B Writing NG Harvey speed of 12 rds. he ride n 2 hours, ber of hours traveled. W tionship bet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
) 2x-y
NAME
DA
4-3
Word Problem Practice
Writing Equations in Point-
1. BICYCLING Harvey rides his bike at an
4. C
average speed of 12 miles per hour. In
other words, he rides 12 miles in 1 hour,
24 miles i 2 hours, and so on. Let h be
the number of hours he rides and d be
distance traveled. Write an equation for
the relationship between distance and
time in point-slope form.
Transcribed Image Text:) 2x-y NAME DA 4-3 Word Problem Practice Writing Equations in Point- 1. BICYCLING Harvey rides his bike at an 4. C average speed of 12 miles per hour. In other words, he rides 12 miles in 1 hour, 24 miles i 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write an equation for the relationship between distance and time in point-slope form.
Expert Solution
Step 1

Harvey rides the bicycle at the speed of 12 miles per hour
make a table for time in hours and distance travelled

time in hours (h)

distance travelled (d)

1 12
2 24
3 36
4 48

find the slope by taking two points (1,12), (2,24)

the slope is m for the two points x1,y1 and x2,y2 is given by m=y2-y1x2-x1

m=d2-d1h2-h1=24-122-1=121=12

therefore the slope is 12

 

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