Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify

Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify the dependent variable and independent variable in this scenario. A The number of rides and the total cost are both independent variables.
B The number of rides and the total cost are both dependent variables.
C The number of rides is the independent variable, and the total cost is the dependent variable.
D The total cost is the independent variable, and the number of rides is the dependent variable.

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  1. C The number of rides is the independent variable, and the total cost is the dependent variable.

    Explanation:

    The total cost is the dependent variable, because it depends on the number of rides.  The number of rides is the independent variable; it is the variable that Nia controls.

  2. The correct answer is B. The number of rides and the total cost are both dependent variables, as both depend on the amount of money that Nia has.

    Step-by-step explanation:

    The total cost is dependent because it relies on how many rides Nia takes, and the $19.50 limit.

    The number of rides is dependent on the limit of $19.50 because the $19.50 is the limit and the total amount of rides is locked by $19.50

    I'm not sure, though.

  3. The number of rides is the independent variable, and the total cost is the dependent variable.

    Step-by-step explanation:

    Nia has $19.50 to ride the subway around New York.

    It will cost her $0.75 every time she rides.

    Lets say the number of rides she takes be = x

    Equation forms like: [tex]0.75x= y[/tex] (y is total cost and it can be up to 19.50)

    So, here the dependent variable is y as the total cost is dependent on the number of rides.

    The rides will end when all the money is spent. So, in some way rides are also dependent as it depends on $19.50.

    When the number of rides increases, the total cost increases.

    Therefore, the correct answer is : The number of rides is the independent variable, and the total cost is the dependent variable.

    Note: If we consider the rides based on the amount Nia has, then option B is correct. Otherwise option C is correct.

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