Let's solve the problem step by step based on the worksheet you provided.
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Understanding Independent and Dependent Variables
-
Independent Variable: This is the variable that is changed or controlled in a scientific experiment. It is the cause.
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Dependent Variable: This is the variable being tested and measured. It is the effect — it "depends" on the independent variable.
In simpler terms:
> The dependent variable
depends on the independent variable.
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Scenario 1: Keira earns $11.50 for each hour she babysits.
We are told:
- Keira earns $11.50 per hour.
- So, her total earnings depend on how many hours she works.
#### Step-by-step reasoning:
- If Keira works more hours, she earns more money.
- Therefore,
earnings depend on
hours worked.
- So, the amount of money earned is the
dependent variable.
- The number of hours worked is the
independent variable.
#### Fill in the blanks:
> The amount of money Keira earns
depends on
> how many
hours she babysits.
-
Dependent variable: Amount of money Keira earns
-
Independent variable: Number of hours she babysits
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Scenario 2: Omar earns 2 points for each basket he makes during his basketball game.
We are told:
- Omar earns 2 points per basket made.
- So, his total score depends on how many baskets he makes.
#### Step-by-step reasoning:
- More baskets = more points.
- Points earned
depend on the number of baskets made.
- So,
total points is the dependent variable.
-
Number of baskets is the independent variable.
#### Fill in the blanks:
> The amount of points Omar earns
depends on
> how many
baskets he makes.
-
Dependent variable: Number of points Omar earns
-
Independent variable: Number of baskets he makes
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✔ Final Answers:
####
1. Keira earns $11.50 for each hour she babysits.
- The amount of money Keira earns
depends on
how many
hours she babysits.
-
Dependent variable: Amount of money Keira earns
-
Independent variable: Number of hours she babysits
####
2. Omar earns 2 points for each basket he makes during his basketball game.
- The amount of points Omar earns
depends on
how many
baskets he makes.
-
Dependent variable: Number of points Omar earns
-
Independent variable: Number of baskets he makes
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Parent Tip: Review the logic above to help your child master the concept of variable worksheet 5th grade.