A robot is expected to filter pollution out of at least 350 liters of air and water. It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute. Write an inequality that represents the number of minutes the robot should filter air (A) and water (W) to meet this expectation.

Question

A robot is expected to filter pollution out of at least 350 liters of air and water. It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute. Write an inequality that represents the number of minutes the robot should filter air  (A) and water  (W) to meet this expectation.

Bytelearn · Accepted Answer

Define Rates: Let's denote the number of minutes the robot filters air as A and the number of minutes it filters water as W. The robot filters air at a rate of 50 liters per minute and water at a rate of 20 liters per minute. To find the total volume filtered, we multiply the rate of filtering by the time spent on each task.Calculate Air Volume: For air, the total volume filtered is 50 liters/minute * A minutes, which equals 50A liters.Calculate Water Volume: For water, the total volume filtered is 20 liters/minute * W minutes, which equals 20W liters.Set Total Expectation: The robot is expected to filter at least 350 liters of air and water combined. This means the sum of the air and water filtered should be greater than or equal to 350 liters.Formulate Inequality: We can write this expectation as an inequality: 50A + 20W ≥ 350.Meet Filtration Condition: This inequality represents the condition that the robot must meet or exceed in terms of the minutes spent filtering air and water to achieve the expected filtration volume.

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