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Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of air and water while using less than 49 Joules of energy. 12 A+8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water. 3A+4W < 49 represents the number of minutes the robot filters air and water while using less than 49 Joules of energy. Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15 minutes? Choose 1 answer: (A) The robot meets both of Nadia's expectations. (B) The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy. (C) The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water. (D) The robot doesn't meet either of Nadia's expectations.

Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343343 liters of air and water while using less than 4949 Joules of energy.\newline 12 A+8 W>343 represents the number of minutes the robot filters air A A and water W W to filter more than 343343 liters of air and water.\newline 3 A+4 W<49 represents the number of minutes the robot filters air and water while using less than 4949 Joules of energy.\newlineDoes the robot meet both of Nadia's expectations by filtering air for 2020 minutes and filtering water for 1515 minutes?\newlineChoose 11 answer:\newline(A) The robot meets both of Nadia's expectations.\newline(B) The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.\newline(C) The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water.\newline(D) The robot doesn't meet either of Nadia's expectations.

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Q. Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343343 liters of air and water while using less than 4949 Joules of energy.\newline12A+8W>343 12 A+8 W>343 represents the number of minutes the robot filters air A A and water W W to filter more than 343343 liters of air and water.\newline3A+4W<49 3 A+4 W<49 represents the number of minutes the robot filters air and water while using less than 4949 Joules of energy.\newlineDoes the robot meet both of Nadia's expectations by filtering air for 2020 minutes and filtering water for 1515 minutes?\newlineChoose 11 answer:\newline(A) The robot meets both of Nadia's expectations.\newline(B) The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.\newline(C) The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water.\newline(D) The robot doesn't meet either of Nadia's expectations.
  1. Check Filtering Quantity: Check if the robot filters more than 343343 liters of air and water.\newlineThe given inequality for filtering air and water is 12A + 8W > 343, where AA is the minutes spent filtering air and WW is the minutes spent filtering water.\newlineSubstitute A=20A = 20 and W=15W = 15 into the inequality to check if it holds true.\newline12(20) + 8(15) > 343\newline240 + 120 > 343\newline360 > 343
  2. Verify Filtering Result: Verify the result from Step 11.\newlineThe sum of 240240 and 120120 is indeed 360360, which is greater than 343343. This means the robot filters the expected amount of air and water.
  3. Check Energy Usage: Check if the robot uses less than 4949 Joules of energy.\newlineThe given inequality for energy usage is 3A + 4W < 49.\newlineSubstitute A=20A = 20 and W=15W = 15 into the inequality to check if it holds true.\newline3(20) + 4(15) < 49\newline60 + 60 < 49\newline120 < 49

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