1. Select the phrase that correctly completes the sentence.
The value of the dependent variable in a function is always ______ the value of the independent variable.
A.greater than
B.dependent on
C.equal to
D. less than
C. equal to
To select the correct phrase that completes the sentence, you need to understand the relationship between the dependent variable and the independent variable in a function. Let's break it down:
- The independent variable is the variable that you can freely choose or manipulate.
- The dependent variable is the variable that changes based on the independent variable.
In this case, the sentence is stating that the value of the dependent variable is always something in relation to the value of the independent variable.
Option A, "greater than", implies that the dependent variable is always larger than the independent variable. This may be true in some cases, but not always.
Option B, "dependent on", does not provide a direct comparison between the two variables.
Option C, "equal to", suggests that the dependent variable is always the same as the independent variable. While they can have the same value in some cases, it is not always true.
Option D, "less than", compares the value of the dependent variable to the value of the independent variable. In many cases, the dependent variable can have a value that is either equal to or less than the value of the independent variable.
Therefore, the correct phrase that completes the sentence is D. "less than".