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


Sagot :

Let's analyze the given situation:

1. Time as Variable:
- Time is the variable that is being measured independently regardless of the parking fee. Therefore, it is not influenced by another factor in this context.
- Hence, time is the independent variable.

2. Parking Fee as Variable:
- The parking fee depends on the amount of time Alayna parks her car. It changes according to the time spent.
- Thus, the parking fee is the dependent variable.

3. Placement on the Axes:
- The independent variable is generally placed on the horizontal axis, known as the x-axis.
- The dependent variable is typically placed on the vertical axis, known as the y-axis.

Given these points, the correct answers are:

- Time is the independent variable and should be placed on the x-axis.
- Parking fee is the dependent variable and should be placed on the y-axis.

So, we can fill in the blanks as follows:

- Time is the __independent__ variable and should be placed on the __x-axis__.
- Parking fee is the __dependent__ variable and should be placed on the __y-axis__.
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