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Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money?

First, determine what information you need to answer this question, then see if the details below give you what you were looking for:

  • How much water does Janine drink in a day? She normally drinks 4 bottles a day, each 16.9 ounces.

  • How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $2.99.

  • How much does a reusable water bottle cost? About $10.

  • How long does a reusable water bottle last? Basically forever (or until you lose it).

  • How much does a water filter cost? How much water will they filter?
    • A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters)
    • A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months
    • An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons.

    Which option is cheapest over one year (365 days)?

    The cheapest option saves her $ over a year.

    Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost).