Let's break down the problem step-by-step.
1. Identify the components of the given word description. The phrase "The quotient of four and the sum of a number and three" involves two key parts:
- A quotient, which means a division operation.
- The sum of a number and three.
2. Define the variable:
- Let [tex]\( x \)[/tex] represent the "number" mentioned in the problem.
3. Construct the "sum of a number and three" part of the expression:
- The sum of [tex]\( x \)[/tex] and 3 is written as [tex]\( x + 3 \)[/tex].
4. Formulate the full expression based on the quotient:
- The quotient of four and [tex]\( x + 3 \)[/tex] means we are dividing 4 by [tex]\( x + 3 \)[/tex].
Hence, the algebraic expression representing "The quotient of four and the sum of a number and three" is:
[tex]\[ \frac{4}{x + 3} \][/tex]
Therefore, the correct option is:
B. [tex]\( \frac{4}{x + 3} \)[/tex]
