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?

- - - - - -
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

Answer 1

Answer:

12A+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.

If the robot filters air for 20 minutes and water for 15 minutes, plugging A as 20 and W as 15, let us check if the equation is true or not.

Checking left side:

12A + 8W = 12(20) +8(15)

240+ 120 = 360

Checking right side: 343

12A+8W > 343

360>343

True.

So the robot meets the first expectation.

Let us check for second equation:

3A+4W < 49

Left side : 3A +4W = 3(20) +4(15) = 60 +60 =120

Right side is 49

comparing left and right side:

3A+4W < 49

120<49

False.

So the robot does not meet the second expectation.

Answer 2

Answer:

21A+14W > 512 represents the number of minutes the robot filters air A and water W to filter more than 512 liters of air and water.

If the robot filters air for 15 minutes and water for 5 minutes, plugging A as 15 and W as 5, let us check if the equation is true or not.

Checking left side:

21A + 14W = 12(15) +8(5)

180+ 40 = 220

Checking right side: 512

21A+14W > 512

220 > 512

false

So the robot doesn't meets the first expectation.

Let us check for second equation:

0.36A+0.6W < 9

Left side : 0.36A +0.6W = 0.36(15) +0.6(5) = 5.4 +3 = 8.4

Right side is 9

comparing left and right side:

3A+0.6W < 9

8.4 < 9

True

So the robot meet the second expectation.