354,692 views
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?

First, determine what information you need to answer this question, then click here to display that info (along with other info).
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