Carmella filled her swimming pool. Before she started to fill it, there was already some water inside the pool. The water entered the pool at the same amount each hour.

The following table shows how much water was inside the pool at various times after Carmella started to fill it.

\begin{tabular}{|c|c|}
\hline
Hours Passed & \begin{tabular}{c}
Amount of Water \\
(gallons)
\end{tabular} \\
\hline
2 & 6,300 \\
\hline
4 & 7,600 \\
\hline
6 & 8,900 \\
\hline
8 & 10,200 \\
\hline
10 & 11,500 \\
\hline
12 & 12,800 \\
\hline
14 & 14,100 \\
\hline
16 & 15,400 \\
\hline
\end{tabular}

What could the appropriate labels be for the [tex]$x$[/tex]-axis and [tex]$y$[/tex]-axis when correctly graphing the line for this situation?

Match each axis with the appropriate label.



Answer :

When graphing the relationship between the time that has passed and the amount of water in the swimming pool as Carmella fills it, each axis on the graph needs to be labeled appropriately to reflect the data correctly.

Here are the appropriate labels:

- x-axis: The x-axis should represent the independent variable, which in this case is the time that has passed since Carmella started filling the pool. Therefore, the correct label for the x-axis is Hours Passed.

- y-axis: The y-axis should represent the dependent variable, which in this situation is the amount of water in the pool. So, the correct label for the y-axis is Amount of Water (gallons).

Thus, the correct labels for the axes when graphing this situation are:
- x-axis: Hours Passed
- y-axis: Amount of Water (gallons)

So, [tex]$\square$[/tex] [tex]$\rightarrow$[/tex] x-axis: Hours Passed and y-axis: Amount of Water (gallons).