PROBLEM #1Keith has $500 in a savings account at the beginning of thesummer. He wants to have at least $200 in the account by theend of summer. He withdraws $25 a week for his cell phonebill.Write an inequality that represents Keith's situation.

Answer:500 - 25w ≥ 200Explanation:Translate every verbal statement into an algebraic statement,1. Keith has $500 in a savings account at the beginning of the summer.Initial amount: 5002.  He wants to have at least $200 in the account by the end of summer. Final amount ≥ 2003. He withdraws $25 a week for his cell phone bill.Call w the number of weeksWithdrawls = 25w4. Write an inequality that represents Keith's situation.Create your model: Final amount = Initial amount - withdrawals ≥ 500500 - 25w ≥ 200With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:500 - 200 ≥ 25w300 ≥ 25w300/25 ≥ w12 ≥ ww ≤ 12That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.