Functions defined on intervals
Mobile phone rates
Phone companies offer various plans for mobile phone users.
Different plans are suitable for different users,
depending on how much and at what time of day
they typically use their mobile phones.
The table below shows data on various mobile phone plans offered by the New Zealand
Telecom company. Compare the different plans
and advise about the plans appropriate for different people.
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Prepare a newspaper report comparing different plans
As a reporter on consumer issues, you have been
asked to prepare a report comparing different plans and advising
readers. Use
graphs to show the dependence of monthly fees
on the number of minutes of use in different plans.
Since there is a difference between rates during peak and off-peak
hours, you may choose to prepare separate reports for:
- People who use their phone mainly for work,
during the daytime hours.
- People who use their phone mainly during the evening hours.
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Use the Functions on intervals tool to
create functions that describe the dependence of
monthly fees on the amount of use in the
different plans.
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Prepare a report presenting your conclusions.
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| Plan |
monthly fee |
free minutes |
rate per minute - peak hours(1) |
rate paer minute - off peak hours (2) |
| GO PREPAID |
no monthly fee |
none |
$1.35 |
$0.49 |
| Go Mobile - Off Peak |
$14.95 |
50 Off-Peak |
$1.29 |
$0.49 |
| Go Mobile - Anytime |
$14.95 |
15 Anytime |
$1.29 |
$0.49 |
| Go Mobile - Anytime |
$14.95 |
15 Anytime |
$1.29 |
$0.49 |
| GO FREE 30 |
$24.95 |
30 Anytime |
$0.99 |
$0.49 |
| GO FREE 100 |
$24.95 |
200 Off Peak |
$0.99 |
$0.49 |
| Go Ahead 65 |
$75.00 |
65 Anytime |
$0.45 |
$0.25 |
| Go Ahead 200 |
$75.00 |
200 Anytime |
$0.44 |
$0.25 |
| Go Ahead 400 |
$190.00 |
400 Anytime |
$0.37 |
$0.25 |
| Go Ahead 750 |
$300.00 |
750 Anytime |
$0.35 |
$0.25 |
Notes:
(1) Peak hours: 7 am - 7 pm weekdays.
(2) Off-peek hours: 7 pm - 7 am weeknights, all weekends and National Statutory Holidays.
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