List the independent and dependent variables for each situation: (a) my height depends on my age. (b) the amount of sleep i get determines what mood i am in. (c) the amount of water in a bathtub is a function of the amount of time the water has been running. (d) my distance from home varies with my speed. (e) the amount of homework i do affects my average speed. (f) the amount of homework i do depends on how much is assigned.

Part (a)

Independent variable = age
Dependent variable = height

"depends on age" indicates that age is independent. 


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.

Part (c)

Independent variable = time water has been running
dependent variable = amount of water in the tub

Time is usually the independent variable

Part (d)

Independent variable = speed
dependent variable = distance from home


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


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