In the United States, water used for irrigation is measured...

In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs $\$ 1950$ per acre-foot, how much does desalinated water cost per liter? (b) How much would it cost one household per day if it were the only source of water?

Key Concepts

Unit Conversion

This involves translating quantities expressed in one unit into another unit using conversion factors. In water resource questions, this might mean converting an acre?foot (a volume measure that covers one acre to a depth of one foot) into liters or cubic meters. Correct unit conversion is essential to ensure that calculations regarding volumes and costs are performed consistently across different measurement systems.

Volume Measurement Units

Understanding volume measurement units such as acre-foot, cubic yards, and liters is key. An acre-foot represents a volume of water covering an acre area to a depth of one foot, and it is commonly used in water resource management, particularly in arid regions. This concept helps relate large-scale water supplies to everyday quantities like household consumption.

Cost Analysis Per Unit

This concept entails determining the cost assigned to a single unit of measure—in this case, a liter of water—by dividing the total cost by the total volume. Such analysis is useful for comparing water prices or budgeting at both macro and micro levels. It involves applying unit conversion and meticulous arithmetic to ensure accuracy in cost estimation.

Household Water Consumption Estimation

This involves extrapolating water usage on a per-household basis from broader measures. Given that certain volumes of water (like an acre-foot) are allocated on an annual basis, the concept requires calculating how that volume divides among households over time, such as converting annual per-household usage into a daily rate. This is important when assessing the affordability of water for households or planning water resource allocations.

Transcript

Please give Ace some feedback