2. Due to the flood, water flooded the basement room, so we turned on a water pump that pumps out 180 liters of water per minute. The room is 3.7 m long, 2.3 m wide, and the water level in the room was 1.2 m.

a) Write how the amount of water in the room changed during pumping, as a function of time.

b) Write how long it took to pump all the water out of the room. The result should be in minutes and seconds.
2. We calculate the volume of water in the cell $V=3.7 \cdot 2.3 \cdot 1.2=10.212 \mathrm{~m}^{3}=10212 \mathrm{dm}^{3}$. The amount of water is expressed as a function of time $f(t)=10212-180 t$. All the water will be drained when the value of the function $f(t)=0$. Solving the equation $10212-180 t=0$, we get $t=56.73$ minutes, which is 56 minutes and 44 seconds.

We calculate the volume $V=3.7 \cdot 2.3 \cdot 1.2=10.212 \mathrm{~m}^{3} \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \ldots . \ldots$ point

![](https://cdn.mathpix.com/cropped/2024_06_07_7bf3e9b12130e254269ag-08.jpg?height=57&width=1642&top_left_y=1202&top_left_x=207)

![](https://cdn.mathpix.com/cropped/2024_06_07_7bf3e9b12130e254269ag-08.jpg?height=60&width=1639&top_left_y=1255&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_7bf3e9b12130e254269ag-08.jpg?height=60&width=1639&top_left_y=1301&top_left_x=206)

We calculate the time $t=56.73$ minutes . .......................................................................................................

Result 56 minutes and 44 seconds..............................................................................