College

What is the constant in the expression [tex]89 + 14x[/tex]?

A. [tex]x[/tex]
B. 14
C. [tex]14x[/tex]
D. 89

Answer :

To find the constant in the expression [tex]\( 89 + 14x \)[/tex], you need to identify the term that does not change as the variable [tex]\( x \)[/tex] changes.

1. Understanding Constant vs. Variable Terms:
- Constant Term: A number that remains the same regardless of the value of the variable. It stands alone without being multiplied by a variable.
- Variable Term: A number that is multiplied by a variable, meaning its overall value can change if the variable changes.

2. Analyzing the Expression:
- The expression given is [tex]\( 89 + 14x \)[/tex].
- Here, [tex]\( 89 \)[/tex] is a constant because it has no variable attached to it. Its value does not depend on [tex]\( x \)[/tex]; it is always 89.
- The term [tex]\( 14x \)[/tex] includes the variable [tex]\( x \)[/tex], meaning its value can change depending on what [tex]\( x \)[/tex] equals. Therefore, this is a variable term, not a constant.

3. Conclusion:
- The constant in the expression [tex]\( 89 + 14x \)[/tex] is the number 89.

Therefore, the constant in the expression is [tex]\(\boxed{89}\)[/tex].