To solve the problem of writing an algebraic expression for "5 times the sum of [tex]\(y\)[/tex] and 1," let's break down the problem step-by-step.
1. Understand the phrase carefully:
- "Sum of [tex]\(y\)[/tex] and 1" tells us to add [tex]\(y\)[/tex] and 1.
- "5 times" means we will multiply this sum by 5.
2. Formulate the expression for the sum:
- The sum of [tex]\(y\)[/tex] and 1 is written as [tex]\(y + 1\)[/tex].
3. Incorporate the multiplication:
- Now, we need to take this sum [tex]\((y + 1)\)[/tex] and multiply it by 5.
Putting these steps together, we get the expression:
[tex]\[ 5 \times (y + 1) \][/tex]
Reviewing the given options:
- A. [tex]\(5 \times (y+1)\)[/tex]
- B. [tex]\(5 \times y + 1\)[/tex]
- C. [tex]\(5 \times (y-1)\)[/tex]
- D. [tex]\(5 \times (5y)\)[/tex]
Option A is the correct answer as it correctly represents "5 times the sum of [tex]\(y\)[/tex] and 1."
Thus, the correct algebraic expression is:
[tex]\[ 5 \times (y + 1) \][/tex]
And the corresponding option is:
[tex]\[ \boxed{A} \][/tex]
