Final answer:
A serum sodium level of 138 mEq/L indicates that the oral rehydration solution treatment is effective for a school-age child.
Step-by-step explanation:
In order to determine if the oral rehydration solution is effective in treating a school-age child, the nurse should look at the lab results. The lab result that would indicate the treatment regimen is effective is a serum sodium level of 138 mEq/L. The serum sodium level reflects the balance of electrolytes in the body, and a normal range for serum sodium is typically between 135-145 mEq/L. Therefore, a value of 138 mEq/L would suggest that the child's electrolyte balance is within the normal range, indicating that the treatment is effective.