Algebraic Expressions, Identities and Formulae

Algebraic Expressions, Identities and Formulae

IP 2
6 marks

Kenneth's monthly bill for his mobile usage is shown in the table below.

Subscription\(\$88\)
Caller-id\(\$5\)
Music subscription\(\$10\)
Insurance\(\$10\)
Other usage?
  1. The total amount of his bill including \(8\%\) GST is \(\$135.54\). Calculate the amount of other usage he has incurred.

    [3]
  1. The table below shows the different mobile plans that is available from the service provider that Kenneth has subscribed with.
    PlanPlan 1Plan 2
    Free Item30 GB Data \\ 300 mins outgoing \\ 300 SMS60 GB Data \\ 600 mins outgoing\\600 SMS
    Cost\(\$68\)\(\$88\)
    \(\$5.35\) for every additional \(1\text{ GB}\). \(\$1\) for every additional \(10\) minutes outgoing or part thereof \(\$1\) for every additional \(10\) SMS or part thereof

Kenneth currently uses Plan 2 and his usage per month is as follows:

  • \(33\text{ GB}\) Data

  • \(305\) mins outgoing calls

  • \(15\) SMS

Should Kenneth change to Plan \(1\) for a cheaper monthly bill?[3]

Solution:

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Answer:(a) \(\$12.50\) (b) Yes. Plan 1 is cheaper. - Plan 1: \(\$85.05\) - Plan 2: \(\$88\)

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