Question

Amber has $800 in a savings account at the beginning of the summer. She wants to have at least $300 in the account by the end of summer. She withdraws (takes out) $80 a week for her groceries. Which of the following inequalities represents Amber's situation?

A) $800 - $80w ≥ $300
B) $800 - $80w ≤ $300
C) $800 + $80w ≥ $300
D) $800 + $80w ≤ $300

Answer 1

The inequality that represents Amber's situation is $800 - $80w ≥ $300. This means that the total savings at the end of the summer must be at least $300.

Step-by-step explanation:

The inequality that represents Amber's situation is:

A) $800 - $80w ≥ $300

To understand why this is the correct inequality, let's break it down:

Amber starts with $800 in her savings account at the beginning of the summer. She withdraws $80 a week for her groceries. To find out her total savings at the end of the summer, we need to subtract the total amount she withdraws from her initial savings:

$800 - $80w, where w represents the number of weeks in the summer.

The inequality states that this amount, $800 - $80w, must be greater than or equal to $300. This means that the total savings at the end of the summer must be at least $300.