Select the correct table.

Using the data provided, identify the lake that is not sustainable.

Lake A

\begin{tabular}{|l|c|}
\hline
Recharges (inflows) & Rate ([tex]$m^3$[/tex]/minute) \\
\hline
River 1 & 6.0 \\
\hline
Precipitation & 2.4 \\
\hline
River 2 & 2.1 \\
\hline
\begin{tabular}{c}
Discharges (outflows)
\end{tabular} & \\
\hline
Irrigation Canals & 5.1 \\
\hline
Evaporation & 4.0 \\
\hline
\end{tabular}

Lake B

\begin{tabular}{|l|c|}
\hline
Recharges (inflows) & Rate ([tex]$m^3$[/tex]/minute) \\
\hline
River 1 & 5.6 \\
\hline
Precipitation & 0.4 \\
\hline
River 2 & 3.1 \\
\hline
\begin{tabular}{c}
Discharges (outflows)
\end{tabular} & \\
\hline
River 3 & 4.3 \\
\hline
Irrigation Canals & 3.1 \\
\hline
Evaporation & 3.5 \\
\hline
\end{tabular}

Lake C

\begin{tabular}{|l|c|}
\hline
Recharges (inflows) & Rate ([tex]$m^3$[/tex]/minute) \\
\hline
River 1 & 2.6 \\
\hline
Precipitation & 3.0 \\
\hline
River 2 & 1.2 \\
\hline
\begin{tabular}{c}
Discharges (outflows)
\end{tabular} & \\
\hline
River 3 & 1.0 \\
\hline
Evaporation & 2.3 \\
\hline
\end{tabular}



Answer :

Let's analyze the sustainability of each lake based on the recharges (inflows) and discharges (outflows) provided:

Lake A:
- Recharges:
- River 1: 6.0 m³/minute
- Precipitation: 2.4 m³/minute
- River 2: 2.1 m³/minute
- Total Recharges: [tex]\( 6.0 + 2.4 + 2.1 = 10.5 \)[/tex] m³/minute

- Discharges:
- Irrigation Canals: 5.1 m³/minute
- Evaporation: 4.0 m³/minute
- Total Discharges: [tex]\( 5.1 + 4.0 = 9.1 \)[/tex] m³/minute

- Net Inflow:
- [tex]\( 10.5 - 9.1 = 1.4 \)[/tex] m³/minute

Lake B:
- Recharges:
- River 1: 5.6 m³/minute
- Precipitation: 0.4 m³/minute
- River 2: 3.1 m³/minute
- Total Recharges: [tex]\( 5.6 + 0.4 + 3.1 = 9.1 \)[/tex] m³/minute

- Discharges:
- River 3: 4.3 m³/minute
- Irrigation Canals: 3.1 m³/minute
- Evaporation: 3.5 m³/minute
- Total Discharges: [tex]\( 4.3 + 3.1 + 3.5 = 10.9 \)[/tex] m³/minute

- Net Inflow:
- [tex]\( 9.1 - 10.9 = -1.8 \)[/tex] m³/minute

Lake C:
- Recharges:
- River 1: 2.6 m³/minute
- Precipitation: 3.0 m³/minute
- River 2: 1.2 m³/minute
- Total Recharges: [tex]\( 2.6 + 3.0 + 1.2 = 6.8 \)[/tex] m³/minute

- Discharges:
- Evaporation: 2.3 m³/minute
- Total Discharges: 2.3 m³/minute

- Net Inflow:
- [tex]\( 6.8 - 2.3 = 4.5 \)[/tex] m³/minute

Conclusion:

- Lake A has a positive net inflow of 1.4 m³/minute.
- Lake B has a negative net inflow of -1.8 m³/minute, indicating that the discharges exceed the recharges.
- Lake C has a positive net inflow of 4.5 m³/minute.

Since Lake B has a negative net inflow, it is not sustainable. The discharges (outflows) are greater than the recharges (inflows), which means the lake is losing more water than it is gaining over time.