Equations: |Graph: 14K /3C 1. Slope, y-intercept Equation: (pick your own equation with a stope in fraction form) My line's graph: Define: m- und 2, Standard Equation: (convert your slope, y-int. to stundard form) Family of Lines Interesting Facts 14T 1. A burizontal line that intersects my line: 2. Two points that lie on my line are: 3. A line that my line will never intersect: 4. A line perpendicular to my line that passes through (0,0): 1. A line parallel to my line: 2. A line perpendicular to my line: 3. A line less steep than my line: 4. My line crosses the x- axis at:
Equations: |Graph: 14K /3C 1. Slope, y-intercept Equation: (pick your own equation with a stope in fraction form) My line's graph: Define: m- und 2, Standard Equation: (convert your slope, y-int. to stundard form) Family of Lines Interesting Facts 14T 1. A burizontal line that intersects my line: 2. Two points that lie on my line are: 3. A line that my line will never intersect: 4. A line perpendicular to my line that passes through (0,0): 1. A line parallel to my line: 2. A line perpendicular to my line: 3. A line less steep than my line: 4. My line crosses the x- axis at:
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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Topic Video
Question
Good afternoon
Please answer all question in the photo attached
Transcribed Image Text:MPMIDI
Assignment Lines and Linear Relation
Name:
/8
18
/11 T
18
A
PART A: My Line
Equations:
(3C
14K
Graph:
1. Slope, y-intercept Equation:
(pick your own equation with a slope in fraction form)
My line's graph:
Define: m-
and
2, Standard Equation:
(convert your slope, y-int. to standard form)
Family of Lines
(4A
Interesting Facts
14T
1. A horizontal line that intersects my line:
2. Two points that lie on my line are:
3. A line that my line will never intersect:
4. A line perpendicular to my line that passes through (0,0):
1. A line parallel to my line:
2. A line perpendicular to my line:
3. A line less steep than my line:
4. My line crosses the x- axis at:
PART B: New Hot Wheels
Tanisha and Peter each buy a car. The graph below represents the value of Tanisha's car over time.
Value uf Car v. Time
20 000
16 000
12 000
000
4000
2346
a) Peter's car costs less than Tanisha's. The value of both cars changes at the same rate. Determine a
possible equation to represent the relationship between the value of Peter's car, V, in dollars, and
Time ears
time, t, in years.
V.
/2T
Justify your equation.
20
b) Their friend, Anna bought a more expensive car than both Tanisha and Peter but the value of her car depreciates (goes lower in
value) much faster than their cars. Determine an equation to represent the relationship between the value of Anna's car, V, in dollars,
and time, t, in years. Justify your equation.
12T
Justify your equation.
PART C: Reading
Tony and Mike decide to keep track of their reading. The graph below represents the relationship between
the number of pages of a novel each has read and the time spent reading since they started tracking.
a) How many pages per hour dees Mike read?
Number of Pages Read vs.
Amount of Time Spent Reading
12A
Tony
星 400
b)Write the equation that represents the number of pages Mike read vs, the amount of
time he spent reading.
2A
300
Mike
200
e) Using the equation above, determine how lang will Mike take to read the 1225 pages
of Tolstoy's "War and Peace" if he reads at the same rate. (Show ye
our work)
100
I 14K
2 4 6
Amount of time spent reading
(h)
d) Which of these relationships represent a partial variation? Explain why.
/20
e) Who will do better in a 10-hour reading competition? Explain why.
20
Va of car
peas sabed jo saqun,
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