Question

1. a bottled water company charges $9 per month for a water cooler. the company also charges $5.95 per bottle of water used in one month. complete the table for the given numbers of bottles of water.

number of bottles of water used	total cost (dollars)
1
5
10

1. write the ordered pair of the point that results from each reflection.

a. reflect the point (5, 4) across the x - axis.
b. reflect the point (-3, -6) across the y - axis.
c. reflect the point (7, -2) across the x - axis.
d. reflect the point (-8, 1) across the y - axis.

Explanation:

Problem 15

Step1: Define cost formula

Total Cost = Fixed Fee + (Cost per Bottle × Number of Bottles)
Formula: $C = 9 + 5.95n$

Step2: Calculate for n=0

Substitute n=0 into formula
$C = 9 + 5.95(0) = 9$

Step3: Calculate for n=1

Substitute n=1 into formula
$C = 9 + 5.95(1) = 14.95$

Step4: Calculate for n=5

Substitute n=5 into formula
$C = 9 + 5.95(5) = 9 + 29.75 = 38.75$

Step5: Calculate for n=10

Substitute n=10 into formula
$C = 9 + 5.95(10) = 9 + 59.5 = 68.5$

• Reflecting across the x-axis flips the sign of the y-coordinate: $(x, y) \to (x, -y)$
• Reflecting across the y-axis flips the sign of the x-coordinate: $(x, y) \to (-x, y)$

Answer:

Number of Bottles of Water Used	Total Cost (dollars)
1	14.95
5	38.75
10	68.50

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Problem 16