Amy has
$
1
,
000
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
$
500
in the account by the end of the summer. She withdraws
$
100
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
−
100
w
≤
500
w
≥
6
1000 minus 100 w is less than or equal to 500 w is greater than or equal to 6
B
1000
+
100
w
≤
500
w
≤
5
1000 plus 100 w is less than or equal to 500 w is less than or equal to 5
C
1000
+
100
w
≥
500
w
≥
6
1000 plus 100 w is greater than or equal to 500 w is greater than or equal to 6
D
1000
−
100
w
≥
500
w
≤
5
1000 minus 100 w is greater than or equal to 500 w is less than or equal to 5
E
1000
−
100
w
≥
500
w
≥
5
1000 minus 100 w is greater than or equal to 500 w is greater than or equal to 5
D. 1000 - 100w ≥ 500; w ≤ 5
This inequality represents the fact that Amy wants to have at least $500 in her account by the end of the summer. By solving for w, we find that she can withdraw money for fun activities for up to 5 weeks.