Question

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance?

Answer 1

600-28(w)=300
-28(w)=-300
~approximately 10 weeks

Answer 2

`600-28w \geq 300`

Explanation:

Manuel has $600 in a savings account at the beginning of the summer.

He withdraws $28 each week for food.

Let w be the no. of weeks

He withdraws for food in w weeks = $28w

Amount left in the account =
`600-28w`

Since we are given that He wants to have at least $300 in the account at the end of the summer.

So, inequality becomes :
`600-28w \geq 300`

Hence An inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance is
`600-28w \geq 300`