Mathematics 10c Unit 5 Student Worksheets With Answer Key Page 48
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48Answer Key
... Continuing General Form.
Example 4:
Example 5:
1
a)
b) b = -a + 5 OR a = -b + 5
a)
b)
= −
+
OR f = -2l + 12
l
f
6
a
b
sum
fans ($10) lamps ($20)
revenue
2
There is no independent
0
5
5
0
6
120
or dependent variable.
There is no independent
1
4
5
or dependent variable.
12
0
120
2
3
5
c)
3
2
5
b
a
c)
4
1
5
l
f
10
10
5
0
5
10
10
5
5
5
5
5
10
a
5
10
b
f
l
5
10
5
10
Example 6:
1
= −
+
b)
t
f
7
OR f = -4t + 28
a)
fives
twenties
total
Example 7:
4
b)
($5)
($20)
amount
volume of beets
volume of potatoes
a) 720b + 760p = 12000
There is no independent
0
7
$140
0
15.8
or dependent variable.
16.7
0
28
0
$140
p = -0.95b + 15.8
b = -1.06p + 16.7
p
b
c)
c)
t
f
20
20
30
30
25
25
15
15
20
20
10
10
15
15
10
10
5
5
5
5
f
t
5
10
15
20
25
30
5
10
15
20
25
30
5
10
15
20
b
5
10
15
20
p
d) yes e) no f) 8 fives
d) 8.96 m
3
C(b)
Example 8:
4000
a) C = 400b. The dependent variable is Calories,
3600
and the independent variable is the number of bowls.
3200
2800
b) C(b) = 400b. This relation is a function because
2400
we have a dependent and independent variable,
2000
and the graph passes the vertical line test.
1600
1200
c) The relation must be graphed as C vs b since
800
Calories is the dependent variable (must go on y-axis),
400
and the number of bowls is the independent variable (must go on x-axis).
1 2 3 4
5
6 7 8 9
10
b
Linear Functions Lesson Five: Parallel and Perpendicular Lines
Introduction:
Example 1:
Example 2:
Example 3:
a) i) a = 10, ii) a = -32/5
a) a = 6
a) original line:
b) original line:
a) m
= 8/5
b) m
= -7/6
c) m
= 5/3
1
1
1
m
= 8/5
m
= 6/7
m
= 5/4
b) i) a= -2/3 ii) a = 6
b) a = 5
y = 3x + 5
y = -1/6x + 3
2
2
2
c) i) undefined, ii) 0
parallel line:
parallel line:
y = 3x- 1
y = 6x - 25
parallel
perpendicular
neither
Example 4:
Example 5:
Example 6:
a) original line:
b) original line:
original line:
original line:
x = 2
y = -4
y = 1/2x - 1
y = 2x + 5
parallel line:
perpendicular line:
perpendicular line:
perpendicular line:
x = -8
x = -8
x = -2x + 4
x = -1/2x + 4
Example 7:
a = 1
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