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
1000 minus 100 w is greater than or equal to 500 w is greater than or equal to 5
The correct inequality is:
1000 - 100w ≥ 500
This inequality represents the minimum amount of money Amy wants to have in her account by the end of the summer (≥ 500). The variable w represents the number of weeks that Amy withdraws money for fun activities.
To solve the inequality, we need to isolate w.
Subtract 1000 from both sides:
-100w ≥ -500
Now, divide both sides by -100 (remember to flip the inequality sign because we're dividing by a negative number):
w ≤ 5
So, the correct answer is E: 1000 minus 100w is greater than or equal to 500 and w is greater than or equal to 5.