Mathematics 10c Unit 5 Student Worksheets With Answer Key Page 47
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48Answer Key
Linear Functions Lesson One: Slope of a Line
Introduction:
Example 1:
Example 2:
a) 2/3
a) -2/3
b) undefined c) 0
d) 4/3
a) 1/3
b) -2
c) undefined d) 0
b) -3
c) 0
d) undefined
Example 3:
Example 4:
a) a = -9
b) a = -8
a)
d
b) speed = 0.18 m/s
d) 86.4 m
10
9
8
(-8, 3)
c) distance is the dependent
e) 1.5 hours
7
6
(4, -9)
5
variable, and time is the
4
3
independent variable.
2
1
Equation: d = 0.18t
10
20
30
40
50
t
Linear Functions Lesson Two: Slope-Intercept Form
Introduction:
Example 1:
Example 4:
Example 3:
a)
b) y = -3x + 7
a)
b)
a)
a)
s
E(s) = 0.09s + 800
370
b)
s(T) = 0.6t + 331
c) y = 3
E
b)
c)
$1025
352 m/s
1200
d) x = -6
360
c)
d)
$2400
55 °C
1100
350
1000
340
Example 2: a) y = -1/2x - 4
b) y = 8
c) x = -5
900
330
800
10 20 30 40 50 60 70
T
s
1000 2000 3000 4000
Linear Functions Lesson Three: Slope-Point Form
Example 2:
a)
b)
Introduction:
Introduction:
Example 1:
a)
b)
a)
b)
Example 3:
c) Use slope-intercept
a)
b)
c)
when the y-intercept is
easily read from a graph.
Use slope-point otherwise.
Example 4:
a)
b) City A: 620 people/year
P
Example 5:
City B: -220 people/year
50000
a)
V
City A
200
c) City A: P
(t) = 620t + 32760
A
40000
City B: P
(t) = -220t + 29610
V(t) = 5t + 29
B
150
30000
d) City A: 44540 people
100
City B: 25430 people
City B
20000
50
10000
t
5
10
15
20
b) 114 L
c) 21 minutes
t
1
2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
Linear Functions Lesson Four: General Form
Introduction:
Example 1:
Example 2:
a) y = -3x - 3
b) x-intercept: (-1, 0)
a) y = 2x + 3
b)
a) x-intercept: (8, 0)
b) x-intercept: (5, 0)
y-intercept: (0, -3)
y-intercept: (0, -7)
y-intercept: (0, -2)
c) 3x + y + 3 = 0
Example 3:
a) x - 2y - 11 = 0
b) 8x + 3y + 24 = 0
General Form Continues...
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