Final answer:
Ken can withdraw money for up to 10 weeks to maintain a balance of at least $600 in his savings account, given he withdraws $35 each week. The inequality representing this situation is 950 - 35w ≥ 600, which simplifies to w ≤ 10.
Step-by-step explanation:
To solve this inequality problem, we need to set up an inequality that represents Ken's savings account balance over the summer as he withdraws money every week. Ken starts with $950 and wants to have at least $600 by the end of summer. If Ken withdraws $35 a week for various expenses, the inequality will represent the number of weeks, w, he can continue to do this without dropping below his $600 goal.
The inequality is:
950 - 35w ≥ 600
To determine the number of weeks Ken can withdraw money, we solve the inequality:
950 - 600 ≥ 35w
350 ≥ 35w
w ≤ 10
So, Ken can withdraw money for up to 10 weeks without his account balance falling below $600. Each week, if he withdraws $35, it reduces the starting amount by that much, and through this process, the inequality helps us understand the maximum number of weeks he can sustain this withdrawal pattern.