Please help! i was wondering how you would solve this question!
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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 <u>faucet-mounted water filter</u>
- The cheapest option saves her <u>$79.11 </u>over a year
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;
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 <u>faucet-mounted filter</u>
- The amount saved over one year = $150.11 - $71.0 = <u>$79.11</u>
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