Question

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 3 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 $3.29.
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)?
Select an answer


The cheapest option saves her $
over a year.

Answer 1

The cost of each option is given by the total amount required to obtain

the volume of water Janine drinks in a year.

Responses:

• The cheapest option is the faucet-mounted water filter

• The cheapest option saves her $79.11 over a year

How are the different options evaluated?

Number of bottles of water Janine drinks in a day = 3 bottles

Volume of a bottle = 16.9 ounces

Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5

Volume of water Janine drinks in a year = 18,505.5 ounces

Volume of water = 18,505.5 ounces = 547.273 liters

The cost of 24-packs of 16.9 ounces bottles = $3.29

Number of packs she will buy in a year is therefore;

$Number \ of \ packs= \dfrac{3 \times 365}{24} = \mathbf{45.625}$

Cost per year = 45.625 × $3.29 ≈ $150.11

The cost of a reusable bottle = $10

Cost of each option to filter 547.723 liters of water.

Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00

Total cost using the water filter = $10 + $22 + 2 × $20 = $72

The cost of using the under sink filter = $10 +  $130 = $140

Therefore;

• The cheapest option over one year is the faucet-mounted filter

• The amount saved over one year = $150.11 - $71.0 = $79.11

Learn more about total cost here:

https://brainly.com/question/25331750