2023 ACSBR EM S1 EOY P2 Q9

2023 ACSBR EM S1 EOY P2 Q9

7 marks

Newflix provides specific estimates for each of its streaming settings.

The table below shows the data, in gigabytes (GB), used for streaming a video per hour with various resolutions, in pixels (p).

Video resolution (pixels)Data used in 1 hour (GB)
Quad High Definition (\({1440p}\))\({10}\)GB
Full High Definition (\({1080p}\))\({3.0}\)GB
High Definition (\({720p}\))\({1.8}\)GB
Standard Definition (\({480p}\))\({0.6}\)GB
  1. Angie spends \({50}\) minutes every day to stream a Full High Definition (1080p) video using her mobile data. Calculate the total amount of data she used in a month. Assume there are \({30}\) days in the month.[2]
  2. Angie wants to buy a mobile phone, BPHONE-5G, and signs a plan with service provider, Sunhub. The table below shows the information about Sunhub’s mobile plans, with the options of 2 years contract or SIM only (no contract) plans. Calculate the total cost for 2 years if Angie purchases a phone with the SIM only (no contract) plan with Sunhub.[2]
    List item image
    Mobile PlanMonthly DataMonthly FeeCost of Phone (BPHONE-5G)
    2 years contract\({50}\)GB\(\$45.42\)\(\$1019\)
    \({80}\)GB\(\$55.51\)\(\$639\)
    \({110}\)GB\(\$69.64\)\(\$429\)
    SIM only (No contract)\({100}\)GB\(\$25.23\)\(\$1575\)
  3. Angie wants to purchase the phone with the SIM only (no contract) plan with Sunhub. With reference to part (a), this plan satisfies her monthly usage. She concludes that she will pay the least for the phone and plan over 2 years as the monthly fee is the lowest.
    Is Angie correct? Justify your decision with calculations.[3]

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Answer:(a) \(75\text{ GB}\) (b) \(\$2180.52\) (c) No; the cheapest suitable option is the \(80\text{ GB}\) two-year contract at \(\$1971.24\).

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