Question

Jenny has saved $600 from her summer job during the school year she withdraws $20 from her account every week for her daily expenses she wants to keep more than $300 in the account for college the number of weeks w that Jenny can withdraw money from her account is represented by the inequality 600 - 20 w >300 how many weeks can Jenny continue to withdraw $20 from her account​

Answer 1

Explanation:

The inequality that represents Jenny's situation is:

600 - 20w > 300

To solve for w, we can start by subtracting 600 from both sides of the inequality:

-20w > 300 - 600

-20w > -300

Next, we can divide both sides by -20, remembering to reverse the direction of the inequality because we are dividing by a negative number:

w < (-300) / (-20)

w < 15

Therefore, the number of weeks that Jenny can continue to withdraw $20 from her account is less than 15. Since Jenny cannot withdraw a fractional number of weeks, the largest whole number of weeks that satisfies the inequality is 14.

Therefore, Jenny can continue to withdraw $20 from her account for 14 weeks while still keeping more than $300 in her account for college.