Question

to investigate the relationship between a persons age and their head circumference, a student measured the head circumference of many students in their school. the results are shown in the graph below.

question 11

the responding variable in the investigation described is

age
time
head circumference
the number of students in the school

Explanation:

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<reasoning>

Identify the variables in the investigation

The investigation aims to study the relationship between a person's age and their head circumference. In an experiment or scientific investigation:

• The independent (manipulated) variable is the factor that is changed or selected by the investigator (Age, plotted on the x-axis).
• The dependent (responding) variable is the factor that is measured or observed in response to changes in the independent variable (Head circumference, plotted on the y-axis).

Determine the responding variable

Since the student is measuring how head circumference changes as age increases, head circumference is the responding variable.
</reasoning>

<answer>
<mcq-option>age</mcq-option>
<mcq-option>time</mcq-option>
<mcq-correct>head circumference</mcq-correct>
<mcq-option>the number of students in the school</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the variables in the investigation

The investigation aims to study the relationship between a person's age and their head circumference. In an experiment or scientific investigation:

• The independent (manipulated) variable is the factor that is changed or selected by the investigator (Age, plotted on the x-axis).
• The dependent (responding) variable is the factor that is measured or observed in response to changes in the independent variable (Head circumference, plotted on the y-axis).

Determine the responding variable

Since the student is measuring how head circumference changes as age increases, head circumference is the responding variable.
</reasoning>

<answer>
<mcq-option>age</mcq-option>
<mcq-option>time</mcq-option>
<mcq-correct>head circumference</mcq-correct>
<mcq-option>the number of students in the school</mcq-option>
</answer>

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