To determine which algebraic expression represents the phrase "the product of 40 and the distance to the finish line," let's break down the phrase step-by-step:
1. Understanding "product":
In mathematics, the term "product" refers to the result of multiplying two or more numbers. So, the phrase is asking for an expression that involves multiplication.
2. Identifying the quantities involved:
- The number 40
- The distance to the finish line, which can be represented by the variable [tex]\( d \)[/tex]
3. Setting up the expression:
Since we are asked for the "product of 40 and the distance to the finish line," we will multiply 40 by [tex]\( d \)[/tex].
Putting it all together, the algebraic expression that represents this phrase is [tex]\( 40 \cdot d \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{40 \cdot d} \][/tex]
Which matches option D.
