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Charges per hour
Charges per hour
Tax Questions
Monthly Charges
Supply and Demand
Fixed and Variable Cost Exercise
Q1)
A worker has set out a table of his charges:
Number of hours worked
2
4
6
8
Cost (£)
20
30
a)
What is the fixed cost?
b)
What is the variable cost?
c)
Find an expression for the total cost £c for working h hours.
c =
h
+
d)
Work out the total cost if the worker to
ok
150
hours to complete their work.
Total cost is
Q2)
A worker has set out a table of his charges:
Number of hours worked
1
2
3
4
Cost (£)
50
78
a)
What is the fixed cost?
b)
What is the variable cost?
c)
Find an expression for the total cost £c for working h hours.
c =
h
+
d)
Work out the total cost if the worker to
ok
6
hours to complete their work.
Total cost is
Q3)
A worker has set out a table of his charges:
Number of hours worked
6
9
12
20
Cost (£)
230
320
a)
What is the fixed cost?
b)
What is the variable cost?
c)
Find an expression for the total cost £c for working h hours.
c =
h
+
d)
Work out the total cost if the worker to
ok
24
hours to complete their work.
Total cost is
Tax Questions
Q1)
Income Tax is calculated as follows:
Country A
$5,000
is tax free and the rest is taxed at
25%
Country B
$0.00
is tax free and the rest is taxed at
20%
Let N be the net salary and G be the gross salary.
a)
Form an expression for the net salary for each country (answer to 2 decimal places):
Country A
N
A
=
G
+
Country B
N
B
=
G
+
b)
Find the gross salary which results in the same net salary for both countries.
c)
What is the net salary for the gross salary found in b)?
Q2)
Income Tax is calculated as follows:
Country A
$3,500
is tax free and the rest is taxed at
18%
Country B
$1,000.00
is tax free and the rest is taxed at
14%
Let N be the net salary and G be the gross salary.
a)
Form an expression for the net salary for each country (answer to 2 decimal places):
Country A
N
A
=
G
+
Country B
N
B
=
G
+
b)
Find the gross salary which results in the same net salary for both countries.
c)
What is the net salary for the gross salary found in b)?
Q3)
Income Tax is calculated as follows:
Country A
$7,200
is tax free and the rest is taxed at
22%
Country B
$1,500.00
is tax free and the rest is taxed at
20%
Let N be the net salary and G be the gross salary.
a)
Form an expression for the net salary for each country (answer to 2 decimal places):
Country A
N
A
=
G
+
Country B
N
B
=
G
+
b)
Find the gross salary which results in the same net salary for both countries.
c)
What is the net salary for the gross salary found in b)?
Monthly Charges
Q1)
Two mobile phone companies apply the following charges:
Company 1
Fixed monthly payment of
£25
Plus a variable charge of
10
pence per minute for calls.
Company 2
Fixed monthly payment of
£0
Plus a variable charge of
20
pence per minute for calls.
Let T represent the total monthly cost and let m represent the number of minutes.
a)
Write down an expression for the total monthly cost for each company:
Company 1
T
1
=
m
+
Company 2
T
2
=
m
+
b)
Find the number of minutes for which the monthly cost is the same for both companie
s.
c)
Find the total monthly cost for the number of minutes found in b)
Q2)
Two mobile phone companies apply the following charges:
Company 1
Fixed monthly payment of
£18
Plus a variable charge of
12
pence per minute for calls.
Company 2
Fixed monthly payment of
£0
Plus a variable charge of
14
pence per minute for calls.
Let T represent the total monthly cost and let m represent the number of minutes.
a)
Write down an expression for the total monthly cost for each company:
Company 1
T
1
=
m
+
Company 2
T
2
=
m
+
b)
Find the number of minutes for which the monthly cost is the same for both companie
s.
c)
Find the total monthly cost for the number of minutes found in b)
Q3)
Two mobile phone companies apply the following charges:
Company 1
Fixed monthly payment of
£30
Plus a variable charge of
8
pence per minute for calls.
Company 2
Fixed monthly payment of
£5
Plus a variable charge of
12
pence per minute for calls.
Let T represent the total monthly cost and let m represent the number of minutes.
a)
Write down an expression for the total monthly cost for each company:
Company 1
T
1
=
m
+
Company 2
T
2
=
m
+
b)
Find the number of minutes for which the monthly cost is the same for both companie
s.
c)
Find the total monthly cost for the number of minutes found in b)
Supply and Demand Questions
Q1)
The supply of a certain product is given by the equatio
n:
3
P
+
-2
Q
=
400
where P is the market price and Q is the quantity produced.
The demand of the same product is given by the equat
ion:
2
P
+
3
Q
=
700
[No canvas support]
x int
0
y int
0
x int
0
y int
0
Plot Points
Supply
0
Demand
0
Find the equilibrium price and quantity:
P=
Q=
Q2)
The supply of a certain product is given by the equatio
n:
3
P
+
3
Q
=
2000
where P is the market price and Q is the quantity produced.
The demand of the same product is given by the equat
ion:
6
P
+
-4
Q
=
700
[No canvas support]
x int
0
y int
0
x int
0
y int
0
Plot Points
Supply
0
Demand
0
Find the equilibrium price and quantity:
P=
Q=
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