Question

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.
\[21A+14W > 512\] 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?

Answer 1

No. For A = 15 and W = 5:

- 21A + 14W = 21(15) + 14(5) = 315 + 70 = 385, and 385 > 512 is false.
- 0.36A + 0.6W = 0.36(15) + 0.6(5) = 5.4 + 3 = 8.4, and 8.4 < 9 is true.

So the energy expectation is met but the filtering amount (liters) is not.