Final answer:
The inequality that represents the possible combinations of new written pieces and reviews that allow the consultant to make at least $600 is 120x + 60y ≥ 600 (option C).
Step-by-step explanation:
The consultant needs to earn at least $600 this week. She gets paid $120 for each new written piece and $60 for each review she completes. To represent the possible combinations of new written pieces and reviews that will allow her to meet or exceed the $600 goal, we need an inequality that reflects this condition.
Let x represent the number of newnewlyitten pieces and y represent the number of reviews. The earnings from written pieces are $120x and from reviews are $60y. If we add these together, the consultant's total earnings can be represented by the expression 120x + 60y. Because she needs to make at least $600, the inequality will be ≥ $600.
Therefore, the correct inequality representation is 120x + 60y ≥ 600, which corresponds to option C. This inequality states that the consultant's total earnings from written pieces and reviews will be at least $600.