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independent variables out how the values of variables ch other. y the d…

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.

  1. the distance traveled, d, and the speed, s
  2. the calories, c, in a snack and the amount of

the snack, a

  1. the amount of money you have spent, s, and

how much money you have left, m

  1. the number of apple slices remaining, r, and

the number of apple slices eaten, e

Explanation:

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).

Answer:

Dependent variable: \( d \) (distance traveled), Independent variable: \( s \) (speed)

Problem 2: