Does the table represent a function? Then represent
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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>
Learn more about total cost here:
Answer:
Step-by-step explanation:
Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.
Alternate Interior Angles Theorem
Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).
Alternate Exterior Angles Theorem
Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).
Same-side Interior Angles Theorem
Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).
Same-side Exterior Angles Theorem
Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).
Corresponding Angles Theorem
Two angles on a figure that correspond are congruent (=).
_
Now, let's look at the figure and apply these theorems.
and
are same-side exterior angles, meaning they're supplementary:
Subtract from both sides of the equation:
Now that we know our value, let's recognize that
(
)corresponds to
, meaning they're congruent:
Subtract from both sides of the equation:
Let's find the value of the angle:
Add:
Since the corresponding angles are of the same value, they're congruent, proving our &
values correct.
_
Since and the angle represented by the expression
(
°) are alternate-interior angles, they are congruent: