Final answer:
The correct interpretation of the given expression depends on whether we are dealing with addition, multiplication, or division in combination with the variable x. Each option reflects a different mathematical operation: A is x plus the quotient of 9 by 3, B is x plus the product of 9 and 3, C is the product of x^2 + 9 and 3, and D is the quotient of x + 9 by 3.
Step-by-step explanation:
The correct interpretation for the given expression depends on the algebraic or arithmetic operations involved.
If we are looking to find the sum of a variable x and the quotient of 9 and 3, then option A is correct because we first divide 9 by 3 to get 3, and then we add that to x, resulting in x + 3.
For option B, the sum of x and the product of 9 and 3, we would multiply 9 by 3 to get 27 and then add that to x, resulting in x + 27.
Option C involves the product of x squared plus 9 and 3, which implies that we first add 9 to x squared (x^2 + 9) and then multiply the sum by 3, resulting in 3(x^2 + 9).
Option D refers to the quotient of x plus 9 and 3, where we would add 9 to x, resulting in (x + 9), and then divide that sum by 3, giving us ⅓2¹.