<span>y = 2x + 20. Choice A is correct. Reasoning: Vlad first spends 20 minutes on his history assignment and then completes x math problems. Each math problem requires 2 minutes, so the time for math is 2x. Adding the two parts gives total time y = 20 + 2x, with x ≥ 0 and y ≥ 20.</span>
Answer: When accounting for distances, Kara walks east double that of Lindsey's northward trek. As x denotes the distance walked by Lindsey, Kara’s distance can aptly be represented as 2x. Including the specified supplemental distances as the scenario develops, we derive the necessary layout and calculate the rectangular area formed accordingly.