Question

Leah starts with $250 in her bank account. Every week she withdraws $20 for miscellaneous expenses. For how many weeks could she withdraw the money if she maintains a balance of at least $90?
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, 250 - 20x = 90, to find the boundary for the inequality. Show your work or solve on paper.
250 - 20x ≥ 90
250−20x
=
90

x
=
Nice!
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= 7 x=8 (boundary) x= 9
250 - 20x ≥ 90
You got it!
Now use your table to help you write the solution to the inequality.
x= 7 x=8 (boundary) x= 9
250 - 20x ≥ 90 True True False
x

8
You got it!
What does x≤ 8 mean in this problem?

Leah has been withdrawing money for exactly 8 weeks or less than 8 weeks.

Leah has been withdrawing money for less than 8 weeks.

Leah has less than $8 in her account.

Answer 1

In this problem, the inequality \( x \leq 8 \) means:

**Leah has been withdrawing money for exactly 8 weeks or less than 8 weeks.**

This indicates that Leah can withdraw money for a maximum of 8 weeks without going below her minimum balance of $90.