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Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512 liters of air and water while using less than 9 Joules of energy. A represents the number of minutes the robot filters air, and W represents the number of minutes the robot filters water. 21 A+14 W > 512 represents the number of minutes the robot filters air and water to filter more than 512 liters of air and water. 0.36A+0.6W < 9 represents the number of minutes the robot filters air and water while using less than 9 Joules of energy. Does the robot meet both of Fernando's expectations by filtering air for 15 minutes and filtering water for 5 minutes? Choose 1 answer: (A) The robot meets both of Fernando'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 Fernando's expectations.

Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512512 liters of air and water while using less than 99 Joules of energy.\newlineA A represents the number of minutes the robot filters air, and W W represents the number of minutes the robot filters water.\newline 21 A+14 W>512 represents the number of minutes the robot filters air and water to filter more than 512512 liters of air and water.\newline 0.36 \mathrm{~A}+0.6 \mathrm{~W}<9 represents the number of minutes the robot filters air and water while using less than 99 Joules of energy.\newlineDoes the robot meet both of Fernando's expectations by filtering air for 1515 minutes and filtering water for 55 minutes?\newlineChoose 11 answer:\newline(A) The robot meets both of Fernando'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 Fernando's expectations.

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Q. Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512512 liters of air and water while using less than 99 Joules of energy.\newlineA A represents the number of minutes the robot filters air, and W W represents the number of minutes the robot filters water.\newline21A+14W>512 21 A+14 W>512 represents the number of minutes the robot filters air and water to filter more than 512512 liters of air and water.\newline0.36 A+0.6 W<9 0.36 \mathrm{~A}+0.6 \mathrm{~W}<9 represents the number of minutes the robot filters air and water while using less than 99 Joules of energy.\newlineDoes the robot meet both of Fernando's expectations by filtering air for 1515 minutes and filtering water for 55 minutes?\newlineChoose 11 answer:\newline(A) The robot meets both of Fernando'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 Fernando's expectations.
  1. Check robot's air and water filtration: First, we need to check if the robot filters more than 512512 liters of air and water when it filters air for 1515 minutes and water for 55 minutes. We will use the first inequality for this:\newline21A + 14W > 512
  2. Calculate the inequality: Substitute AA with 1515 and WW with 55 into the inequality:\newline21(15) + 14(5) > 512
  3. Verify the inequality: Perform the calculations: 315 + 70 > 512
  4. Check robot's energy usage: Add the two numbers to see if the inequality holds: 385 > 512 This is not true, so the robot does not filter the expected amount of air and water.
  5. Calculate the inequality: Now, let's check if the robot uses less than 99 Joules of energy when it filters air for 1515 minutes and water for 55 minutes using the second inequality:\newline0.36A + 0.6W < 9
  6. Verify the inequality: Substitute AA with 1515 and WW with 55 into the inequality:\newline0.36(15) + 0.6(5) < 9
  7. Verify the inequality: Substitute AA with 1515 and WW with 55 into the inequality:\newline0.36(15) + 0.6(5) < 9Perform the calculations:\newline5.4 + 3 < 9
  8. Verify the inequality: Substitute AA with 1515 and WW with 55 into the inequality: 0.36(15) + 0.6(5) < 9Perform the calculations: 5.4 + 3 < 9Add the two numbers to see if the inequality holds: 8.4 < 9This is true, so the robot does use less than the expected amount of energy.

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