Addition and subtraction of linear functions
Connection to the Internet
Many companies offer Internet-connection services to home users.
The fee for Internet services consists of a
fixed daily charge (on days on which the user
connects to the Internet) and of a charge that depends on the length of time the user is connected.
Below are ads from three competing Internet providers.
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Check the claims made in the ads. What is your opinion about these claims?
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Present difference functions and explain how they can be used to compare different rates.
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A new Internet provider wants to
enter the market and compete with the existing
providers. Suggest a rate for the new provider, but bear in mind that the company must be profitable so the rate cannot be too low. Write an ad to convince
people to switch to the new provider; use some
mathematical representations (graphs, value tables, correspondence rules)
to support your claims.
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FunNet
We charge a low (25 cent) hourly fee, so you can surf
the net without worrying about the time. The more you surf, the
larger your savings compared with our competitor.
The figure shows a comparison of our daily cost (in blue) with DreamNet.
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daily cost in dollars |
| number of hours |
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DreamNet
Studies show that most Internet users surf between
1-2 hours daily. Our low basic daily fee (20 cents) makes
us the best choice for most Internet users.
The figure shows a comparison of our daily cost (in red) with FunNet.
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daily cost in dollars |
| number of hours |
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InterEasy
We don't charge a fixed daily fee. Pay only for the time you are connected (60 cents per hour).
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