The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.
<h3>What are independent and dependent variables?</h3>
Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
- If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
- The variables who take their values based on some other variables' values are called dependent variables.
The complete question is:
A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?
A. The rate of change is $0.25 and minutes are the independent variable.
B. The rate of change is $0.25 and minutes are the dependent variable.
C. The rate of change is $0.10 per minute and minutes are the independent variable
D. The rate of change is $0.10 per minute and minute are the dependent variable.
The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,
Total Cost = $0.25 + $0.10(x)
Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.
Hence, the correct option is C.
Learn more about Dependent and Independent Variable:
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