Select the phrase that correctly complete the sentence.
The value of the dependent variable in a function is always_____ the value of the independent variable.
Greater than
Dependent on
Equal to
Less than
dependent on
Equal to
To determine the correct phrase that completes the sentence, we need to understand the relationship between the dependent and independent variables in a function.
In a function, the dependent variable is the variable that changes based on the value of the independent variable. The independent variable, on the other hand, is the variable that is typically manipulated or controlled.
In this case, the sentence is asking for the relationship between the value of the dependent variable and the value of the independent variable.
Looking at the given options:
- "Greater than": This implies that the value of the dependent variable is always larger or more than the value of the independent variable. This may be the case in certain scenarios, but it is not a general rule for all functions.
- "Dependent on": This indicates the relationship between the two variables, but it does not complete the sentence. It does not specify whether the dependent variable is greater, equal, or less than the independent variable.
- "Equal to": This states that the value of the dependent variable is always the same as the value of the independent variable. While this may be true for some specific functions, it is not generally the case.
- "Less than": This option completes the sentence correctly. It means that the value of the dependent variable is always smaller or less than the value of the independent variable. This is the most common relationship in many functions.
Therefore, the correct phrase that completes the sentence is: "Less than".