Amy has
in a savings account at the beginning of her summer vacation. She wants to use some of the money to pay for fun activities over the summer, and she wants to have at least
in the account by the end of the summer. She withdraws
per week for fun activities.
Write and solve an inequality for the number of weeks Amy can withdraw money for fun activities.
Responses
A
1000 minus 100 w is less than or equal to 500 w is greater than or equal to 6
B
1000 plus 100 w is less than or equal to 500 w is less than or equal to 5
C
1000 plus 100 w is greater than or equal to 500 w is greater than or equal to 6
D
1000 minus 100 w is greater than or equal to 500 w is less than or equal to 5
E
. D
Explanation:
Let w represent the number of weeks Amy withdraws money for fun activities. At the beginning, she has $1000 in her savings account.
Each week, she withdraws money, which means the amount in her account decreases by 100w.
Amy wants to have at least $500 in her account by the end of the summer.
Therefore, the inequality would be:
1000 - 100w ≥ 500
Solving for w:
1000 - 100w ≥ 500
-100w ≥ -500
w ≤ 5
Therefore, Amy can withdraw money for fun activities for 5 weeks or less to have at least $500 in her account by the end of the summer.