Question

1. maria has $720 in her savings account. she withdraws $60 each week. she wants to keep at least $240 in her account. what is the maximum number of weeks maria can make withdrawals?

a. 7 weeks
b. 8 weeks
c. 9 weeks
d. 8 weeks

Explanation:

Step1: Define variable & set up inequality

Let $w$ = number of weeks. Initial amount minus withdrawals ≥ minimum amount:
$$720 - 60w \geq 240$$

Step2: Isolate the term with $w$

Subtract 720 from both sides:
$$-60w \geq 240 - 720$$
$$-60w \geq -480$$

Step3: Solve for $w$

Divide by -60 (reverse inequality sign):
$$w \leq \frac{-480}{-60}$$
$$w \leq 8$$

Answer:

D. 8 weeks