To write the expression [tex]\(3x+4\)[/tex] using words, let's break it down step by step:
1. Identify the components: The expression has two main parts:
- [tex]\(3x\)[/tex]: This symbolizes three times a number (the number being [tex]\(x\)[/tex]).
- [tex]\(+4\)[/tex]: This represents adding four to the product [tex]\(3x\)[/tex].
2. Interpret the components in words:
- [tex]\(3x\)[/tex]: This can be described as "three times a number".
- [tex]\(+4\)[/tex]: This can be described as "the sum of" or "and four".
3. Combine the phrases:
- To convey the entire expression [tex]\(3x+4\)[/tex], we say: "the sum of three times a number and four".
So, the correct phrase is:
- the sum of three times a number and four
Thus, the first option is the correct one.