Final answer:
The correct translation of the statement into an algebraic equation is '7s - 5 = 13', represented by option (d).
Step-by-step explanation:
The question 'Five less than the product of seven and a number is the same as thirteen' asks us to translate a verbal statement into an algebraic equation. To translate this, we start by recognizing the 'product of seven and a number', which we can express as 7s, where 's' stands for the unknown number. We then need to subtract five from this product, so we write this as 7s - 5. Finally, the statement tells us that this expression is 'the same as thirteen', which means it is equal to thirteen, giving us the equation 7s - 5 = 13. Therefore, the correct translation of the statement into an algebraic expression is option (d).