Final answer:
To find the total number of quarts of water that can be drawn from the water well before it goes dry, divide the initial production by the drop rate to find the number of years the well will produce water. Then, multiply the number of years by the weekly production rate to find the total number of quarts of water.
Step-by-step explanation:
To find the total number of quarts of water that can be drawn from the water well before it goes dry, we need to calculate the number of years the well will produce water and then multiply it by the weekly production rate.
Given that the production drops by 27 quarts per year, we can calculate the number of years the well will produce water by dividing the initial production by the drop rate:
Number of years = 95,000 quarts / 27 quarts/yr = 3,518 years (rounded to the nearest whole year)
Finally, we multiply the number of years by the weekly production rate to find the total number of quarts of water that can be drawn from the well:
Total number of quarts = 3,518 years × 95,000 quarts/week = 334,210,000 quarts (rounded to the nearest whole quart)