an outdoor spigot at the school has a leak and is dripping water. a student counted eighty drops of water in…

an outdoor spigot at the school has a leak and is dripping water. a student counted eighty drops of water in five minutes and noticed that sixty drops of water filled a container to a level of ten milliliters. if the spigot is not fixed and this dripping rate continues, how many liters of water will be wasted in four weeks? round the answer to the nearest liter.\n\na 54 liters\nb 84 liters\nc 96 liters\nd 108 liters
Answer
Explanation:
Step1: Calculate the volume of a single drop
$$V_{drop} = \frac{10\text{ mL}}{60\text{ drops}} = \frac{1}{6}\text{ mL/drop}$$
Step2: Calculate the number of drops per minute
$$R_{drops} = \frac{80\text{ drops}}{5\text{ minutes}} = 16\text{ drops/minute}$$
Step3: Calculate the total minutes in four weeks
$$T = 4\text{ weeks} \times 7\text{ days/week} \times 24\text{ hours/day} \times 60\text{ minutes/hour} = 40,320\text{ minutes}$$
Step4: Calculate the total number of drops
$$N_{total} = 16\text{ drops/minute} \times 40,320\text{ minutes} = 645,120\text{ drops}$$
Step5: Calculate the total volume in milliliters
$$V_{total_mL} = 645,120\text{ drops} \times \frac{1}{6}\text{ mL/drop} = 107,520\text{ mL}$$
Step6: Convert the total volume to liters
$$V_{total_L} = \frac{107,520\text{ mL}}{1,000\text{ mL/L}} = 107.52\text{ liters}$$
Step7: Round to the nearest liter
$$107.52 \approx 108$$
Answer:
D. 108 liters