Question

1. jordan has $950 in a checking account. each week, he withdraws $75 to cover expenses. he wants to make sure his account balance never drops below $250. what is the greatest number of full weeks jordan can withdraw money?

a. 7 weeks
b. 8 weeks
c. 9 weeks
d. 10 weeks

Explanation:

Step1: Define variables and inequality

Let $w$ = number of weeks. Initial balance minus total withdrawals ≥ minimum balance:
$$950 - 75w \geq 150$$

Step2: Isolate the variable term

Subtract 950 from both sides:
$$-75w \geq 150 - 950$$
$$-75w \geq -800$$

Step3: Solve for w (reverse inequality)

Divide by -75, reverse inequality sign:
$$w \leq \frac{800}{75}$$
$$w \leq 10.\overline{666}$$

Step4: Take maximum full weeks

We need full weeks, so round down.

Answer:

D. 10 weeks