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

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How much water does Janine drink in a day? She normally drinks 6 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 $3.59.
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?

User Anup
by
2.7k points

2 Answers

14 votes
14 votes

Answer:

DIY water filtering costs

$33 = 3300 cents for 30 gallons =

11 cents per gallon

So the linear function is 38 + 0.33 G where G is the gallons of water

The $38 flat fee is for the water filter and the reusable water.

1 pack of bottled water is 3.16875 gallons ( 24 x 16.9 ounces with 128 ounces per gallon)

Using the filtering system, 3.16875 gallons will cost 0.33 x 3.16875 = $1.0456875

This is 3.99-1.0456875 = 2.94 cheaper per pack of water

38 / 2.94 = 13

So the filtering system will pay for itself after 13 cases of water

Explanation:

i explain it all up.

User James In Indy
by
2.5k points
18 votes
18 votes

Answer:

yes.

Explanation:

Because if you buy a re-usable water bottle you wont have to keep buying more water bottles

User Nick Cox
by
3.1k points
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