A student measured the amount of carbon dioxide [tex]\(\left( CO_2 \right)\)[/tex] produced by yeast during an experiment. Use the data in the table to answer the question below.

Which variable is the dependent variable?

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Time \\ (min)
\end{tabular}
&
\begin{tabular}{c}
[tex]$CO_2$[/tex] Produced \\ (mL)
\end{tabular}
\\
\hline
5 & 4.1 \\
\hline
10 & 5.9 \\
\hline
15 & 8.2 \\
\hline
\end{tabular}



Answer :

To determine which variable is the dependent variable in this experiment, we need to understand the definitions of independent and dependent variables within the context of a scientific experiment.

1. Independent Variable:
- This is the variable that is changed or controlled by the experimenter.
- It is the cause or input that potentially affects the outcome.

2. Dependent Variable:
- This is the variable that is measured or observed in the experiment.
- It is the effect or output that is influenced by changes in the independent variable.

In this particular experiment, the table provided shows measurements of two variables: Time (min) and [tex]\(CO_2\)[/tex] Produced (mL).
- The Time (min) values are 5 minutes, 10 minutes, and 15 minutes. These are the intervals at which measurements were taken.
- The [tex]\(CO_2\)[/tex] Produced (mL) values are 4.1 mL, 5.9 mL, and 8.2 mL. These represent the amount of carbon dioxide produced at each respective time interval.

The purpose of the experiment appears to be observing how yeast produces [tex]\(CO_2\)[/tex] over a period of time. Thus:

- Time (min) is the independent variable because it is the controlled variable—the researcher decides the time intervals.
- [tex]\(CO_2\)[/tex] Produced (mL) is the dependent variable because it is the measured outcome that depends on the elapsed time.

Therefore, the dependent variable in this experiment is:

CO2 Produced (mL)