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
X= 2 sq rt 3
Y= 3. Sqrt 3 times sqrt 3 =3
Number 1 = 17
number 2 = 72
number 3 = 24
work:
the three numbers are symbolized as x, y, and z
x + y + z = 113
number 2 (y) is 3 times the third number (z) so
y = 3z
so x + 3z + z = 113
the first number (x) is 7 less than than the third number (z) so
x = z - 7
so z -7 + 3z + z = 113
5z - 7 = 113
5z = 120
z = 24
x = 17
y = 72
Hope this helped :)
The answer is straightforward, by the "rule of product":
There are
3×8×2=48
3×8×2=48
different combinations (distinct possible cars) that can be created.
There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:
Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car
You can find this by doing: 64 points/ 8 games.
Therefore, she scored 8 points a game.
