Final answer:
The The correct answer is option b. expression that correctly represents "7 more than 1/3 of x" is '7 + x/3', which is mathematically written as the sum of 7 and one-third of variable x.
Step-by-step explanation:
The expression that means "7 more than 1/3 of x" is constructed by first finding 1/3 of x, which is represented by x/3, and then adding 7 to that quantity. So, the expression we are looking for will add the number 7 to one-third of x. In algebraic terms, this is written as 7 + x/3, which corresponds to option b in your list.
To clarify further, "7 more than" is equivalent to adding 7, and "1/3 of x" refers to dividing x by 3. Hence, combining these two pieces results in the simple addition: 1/3 of x plus 7, or 7 + x/3.