It's the first option, 3/23
Part (a)
Independent variable = age
Dependent variable = height
"depends on age" indicates that age is independent.
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Part (b)
Independent variable = amount of sleep
Dependent variable = mood
The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
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Part (c)
Independent variable = time water has been running
dependent variable = amount of water in the tub
Time is usually the independent variable
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Part (d)
Independent variable = speed
dependent variable = distance from home
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Part (e)
Independent variable = amount of homework done
dependent variable = speed
This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar
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Part (f)
Independent variable = amount of hw that is assigned
dependent variable = amount of homework done
Like with part (a), the stuff before "depends" is the dependent variable
<h2>
Answer with explanation:</h2>
The function represents the area of a circle(A) is given by :-

To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get

Now, we put
in the above function , we get

Answer:
<h2>It doesn't change the volume.</h2>
Step-by-step explanation:
If we change the position of the vertex of a cone, it won't change its volume, because we're not changing its height.
When we change the position of the vertex of the cone, we are moving it to left or right, which would give a slant cone. However, its dimensions are the same. The important fact here is that the dimensions of the cone don't change, that's why it would give the same volume.