Final answer:
The inequality representing 'The product of 6 and the sum of a number and 9 is at most 48' is 6(x + 9) ≤ 48.
Step-by-step explanation:
The question asks for the correct inequality representation for the phrase "The product of 6 and the sum of a number x and 9 is at most 48." This means we are looking for an inequality that expresses this situation mathematically.
To construct the inequality, we start by translating the phrase into a mathematical expression. The product of 6 and the sum of x and 9 is represented by 6(x + 9). The phrase "at most 48" indicates that this product is less than or equal to 48, forming the inequality 6(x + 9) ≤ 48.
Therefore, the correct answer to the student's question is A) 6(x + 9) ≤ 48.