Question

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 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:

brainly.com/question/25331750