Question

Angel has 400 dollars in her savings account. She withdraws 20 dollars every week. She wants to have a minimum of 100 dollars at the end of year. If a year has "w" weeks, select the correct inequality for the given situation.

• A. 400 + 20w ≥ 100
• B. 400 - 20w ≥ 100
• C. 100 - 20w ≥ 400
• D. 400 +100 ≥ 20w

Answer 1

The correct option is B 400 - 20w ≥ 100

Angel has 400 dollars.

She withdraws 20 dollars every week.

Number of weeks in a year = w.

$\text{∴ Money withdrawn for w number of weeks}$
$=20\times w=20w\text{dollars}.$

She wants to have atleast 100 dollars in her account at the end of the year.

$\text{∴ The inequality for this situation will be}$
$400-20w\ge 100$