QUESTION IMAGE
Question
independent variables
out how the values of variables
ch other.
y the dependent variable, ask
which variable depends on the other.
y the independent variable, ask
which variable causes the change.
quad is washing cars. the equation
esents the money they make, m, for
rs. identify the dependent variable
pendent variable.
of money the spirit squad makes
the number of cars they wash.
t variable is m.
cars washed changes the amount
the independent variable is c.
practice
identify the dependent variable and the
independent variable in each situation.
- the distance traveled, d, and the speed, s
- the calories, c, in a snack and the amount of
the snack, a
- the amount of money you have spent, s, and
how much money you have left, m
- the number of apple slices remaining, r, and
the number of apple slices eaten, e
Problem 1:
Step1: Analyze variable dependency
To find dependent and independent variables, we check which variable depends on the other. Distance \( d \) traveled depends on speed \( s \) (since distance = speed × time, and if time is constant or speed determines distance).
Step2: Identify variables
Dependent variable: \( d \) (distance depends on speed). Independent variable: \( s \) (speed causes change in distance).
Step1: Analyze variable dependency
Calories \( c \) in a snack depend on the amount \( a \) of the snack (more snack means more calories, generally).
Step2: Identify variables
Dependent variable: \( c \) (calories depend on amount). Independent variable: \( a \) (amount causes change in calories).
Step1: Analyze variable dependency
Money left \( m \) depends on money spent \( s \) (if initial money is fixed, more spent means less left).
Step2: Identify variables
Dependent variable: \( m \) (money left depends on money spent). Independent variable: \( s \) (money spent causes change in money left).
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Dependent variable: \( d \) (distance traveled), Independent variable: \( s \) (speed)