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Alayna parks her car in a lot that charges by the quarter hour. The table shows the parking fee, in dollars, with respect to the time, in hours.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Time (hours) & 0.25 & 0.5 & 0.75 & 1 & 1.25 & 1.5 \\
\hline
Parking Fee & \[tex]$0.50 & \$[/tex]1.00 & \[tex]$1.50 & \$[/tex]2.00 & \[tex]$2.50 & \$[/tex]3.00 \\
\hline
\end{tabular}

Time is the [tex]$\square$[/tex] variable and should be placed on the [tex]$\square$[/tex].
Parking fee is the [tex]$\square$[/tex] variable and should be placed on the [tex]$\square$[/tex].



Answer :

Let's break down the problem step-by-step.

We are given a table that displays the parking fee based on the time parked. The two variables involved are time and the parking fee.

1. Time and Parking Fee Relationship:
- Time is measured in hours.
- Parking fee is measured in dollars.

2. Identifying Independent and Dependent Variables:
- The independent variable is the variable that we can freely change, and it isn't affected by other variables in the context of this problem. Here, this is the time, because Alayna can choose how long to park her car.
- The dependent variable is the variable that depends on the value of the independent variable. Here, this is the parking fee, as it changes based on the time parked.

3. Axis Placement:
- Commonly in graphing scenarios, the independent variable is plotted on the horizontal axis (x-axis), while the dependent variable is plotted on the vertical axis (y-axis).

Based on the information, let’s place these results into the appropriate blanks:

- Time is the independent variable.
- Parking fee is the dependent variable.
- The independent variable (time) should be placed on the horizontal axis.
- The dependent variable (parking fee) should be placed on the vertical axis.

Thus, the completed sentences are:
- Time is the independent variable.
- Parking fee is the dependent variable.
- The independent variable should be placed on the horizontal axis.
- The dependent variable should be placed on the vertical axis.