Question

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.

Answer 1

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.

Explanation:

Both the number of rides and the total cost are variables that depend on the amount of money that Nia has. This is so because the passage has a cost, and that cost can not exceed the amount of money that Nia has, because if she exceeds her $ 19.50 she won't be able to pay the ticket. Then, Nia has a possible amount of 26 rides as maximum (19.5 / 0.75 = 26), and the maximum total cost that can be paid is $ 19.50.