Question
Michael starts with $200 in his bank account. Every week he withdraws $15 for miscellaneous expenses. For how many weeks could he withdraw the money if he maintains a balance of at least $65?
Write an inequality to represent the situation. Use x to represent the number of weeks.
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 200 - 15x = 65, to find the boundary for the inequality. Show your work or solve on paper.
200 - 15x ≥ 65
200−15x
=
65
−
−
=
x
=
Excellent!
Fill in the table to show whether a value below the boundary, the boundary, and a value above the boundary make the inequality true or false.
x= 8 x=9 (boundary) x= 10
200 - 15x ≥ 65
Nice!
Now use your table to help you write the solution to the inequality.
x= 8 x=9 (boundary) x= 10
200 - 15x ≥ 65 True True False
x
9
Great job!
What does x≤ 9 mean in this problem?
Michael has been withdrawing money for exactly 9 weeks or less than 9 weeks.
Michael has been withdrawing money for less than 9 weeks.
Michael has less than $9 in his account.
Write an inequality to represent the situation. Use x to represent the number of weeks.
Nice!
You just wrote an inequality to represent the situation. Now solve the associated equation, 200 - 15x = 65, to find the boundary for the inequality. Show your work or solve on paper.
200 - 15x ≥ 65
200−15x
=
65
−
−
=
x
=
Excellent!
Fill in the table to show whether a value below the boundary, the boundary, and a value above the boundary make the inequality true or false.
x= 8 x=9 (boundary) x= 10
200 - 15x ≥ 65
Nice!
Now use your table to help you write the solution to the inequality.
x= 8 x=9 (boundary) x= 10
200 - 15x ≥ 65 True True False
x
9
Great job!
What does x≤ 9 mean in this problem?
Michael has been withdrawing money for exactly 9 weeks or less than 9 weeks.
Michael has been withdrawing money for less than 9 weeks.
Michael has less than $9 in his account.
Answers
GPT-4o mini
The expression \( x \leq 9 \) means:
**Michael has been withdrawing money for exactly 9 weeks or less than 9 weeks.**
This interpretation aligns with the context of the problem, where \( x \) represents the number of weeks Michael can withdraw money while maintaining at least $65 in his bank account. Therefore, he could withdraw for a maximum of 9 weeks without going below that balance.
**Michael has been withdrawing money for exactly 9 weeks or less than 9 weeks.**
This interpretation aligns with the context of the problem, where \( x \) represents the number of weeks Michael can withdraw money while maintaining at least $65 in his bank account. Therefore, he could withdraw for a maximum of 9 weeks without going below that balance.