Let's denote the number of weeks Jorge can withdraw $15 from his account as "w."
At the start of the summer, he has $300 in his account. Each week, he withdraws $15. So, his account balance after w weeks will be:
Initial balance - Total withdrawals = $300 - ($15 * w)
Jorge wants to have at least $150 in his account by the end of the summer. Therefore, we can write the inequality as:
Initial balance - Total withdrawals ≥ $150
$300 - ($15 * w) ≥ $150
Now, you can solve this inequality for w:
$300 - ($15 * w) ≥ $150
Subtract $300 from both sides:
-$15 * w ≥ $150 - $300
-$15 * w ≥ -$150
Now, divide both sides by -15 (remember that when dividing or multiplying by a negative number, you need to reverse the inequality):
w ≤ (-$150) / (-$15)
w ≤ 10
So, the inequality that shows how many weeks Jorge can withdraw $15 from his account and still remain within the goal is:
w ≤ 10
Jorge can withdraw $15 for a maximum of 10 weeks and still have at least $150 in his account by the end of the summer.