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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. Which of the following inequalities represents the number of minutes the robot should filter air (A) and water (W) to meet this expectation? Choose 1 answer: (A) 50 A+20 W >= 350 (B) 50 A+20 W <= 350 (c) 20A+50W >= 350 (D) 20 A+50 W <= 350

A robot is expected to filter pollution out of at least 350350 liters of air and water. It filters air at the rate of 5050 liters per minute, and it filters water at the rate of 2020 liters per minute. Which of the following inequalities represents the number of minutes the robot should filter air (A) (A) and water (W) (W) to meet this expectation?\newlineChoose 11 answer:\newline(A) 50A+20W≥350 50 A+20 W \geq 350 \newline(B) 50A+20W≤350 50 A+20 W \leq 350 \newline(C) 20A+50W≥350 20 A+50 W \geq 350 \newline(D) 20A+50W≤350 20 A+50 W \leq 350

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Q. A robot is expected to filter pollution out of at least 350350 liters of air and water. It filters air at the rate of 5050 liters per minute, and it filters water at the rate of 2020 liters per minute. Which of the following inequalities represents the number of minutes the robot should filter air (A) (A) and water (W) (W) to meet this expectation?\newlineChoose 11 answer:\newline(A) 50A+20W≥350 50 A+20 W \geq 350 \newline(B) 50A+20W≤350 50 A+20 W \leq 350 \newline(C) 20A+50W≥350 20 A+50 W \geq 350 \newline(D) 20A+50W≤350 20 A+50 W \leq 350
  1. Determine filtration rates: Determine the rate at which the robot filters air and water.\newlineThe robot filters air at a rate of 5050 liters per minute, which we represent with the variable AA for the number of minutes spent filtering air.\newlineThe robot filters water at a rate of 2020 liters per minute, which we represent with the variable WW for the number of minutes spent filtering water.
  2. Calculate volume of air and water filtered: Write the expression for the total volume of air and water filtered.\newlineThe total volume of air filtered in AA minutes is 5050 liters/minute ∗A* A minutes = 50A50A liters.\newlineThe total volume of water filtered in WW minutes is 2020 liters/minute ∗W* W minutes = 20W20W liters.
  3. Combine expressions for total volume filtered: Combine the expressions to represent the total volume filtered.\newlineThe total volume filtered by the robot is the sum of the volume of air and water filtered, which is 50A+20W50A + 20W liters.
  4. Formulate the inequality for volume requirement: Formulate the inequality based on the requirement.\newlineThe robot is expected to filter at least 350350 liters of air and water. This means the total volume filtered, 50A+20W50A + 20W, must be greater than or equal to 350350 liters.\newlineThe inequality that represents this requirement is 50A+20W≥35050A + 20W \geq 350.

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