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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 companies.
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 companies.
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 companies.
c)
Find the total monthly cost for the number of minutes found in b)
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